{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import wandb\n",
    "\n",
    "import shutil\n",
    "\n",
    "import torch\n",
    "import scipy\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import tabulate\n",
    "import tqdm\n",
    "\n",
    "import itertools\n",
    "\n",
    "from matplotlib import rc\n",
    "\n",
    "rc('text', usetex=True)\n",
    "rc('font',**{'family':'serif','serif':['Computer Modern Roman']})\n",
    "\n",
    "%matplotlib inline\n",
    "palette = sns.color_palette()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['serif'] not found. Falling back to DejaVu Sans.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1872x792 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.patches as mpatches\n",
    "\n",
    "pallete = sns.color_palette()\n",
    "\n",
    "fig, axes = plt.subplots(figsize=(26, 11), nrows=1, ncols=2)#, sharey='all')\n",
    "plt.sca(axes[1])\n",
    "\n",
    "plt.xlabel('')\n",
    "plt.ylabel('')\n",
    "\n",
    "ring = mpatches.Wedge((0.0, 0.0), 2.0, 0, 360, width=1.0, color=palette[1], alpha=0.4, figure=fig)\n",
    "c_patch = mpatches.Patch(color=palette[1], alpha=0.4, label='$q(x)$')\n",
    "plt.legend(handles=[c_patch], fontsize=70, bbox_to_anchor=(0.5, 1.1), loc='center',\n",
    "           frameon=False, handlelength=1.5)\n",
    "plt.gca().add_patch(ring)\n",
    "\n",
    "plt.xlim([-2.4, 2.4])\n",
    "plt.ylim([-2.4, 2.4])\n",
    "\n",
    "\n",
    "plt.gca().tick_params(axis='both', which='major', pad=15)\n",
    "plt.xticks(fontsize=50)\n",
    "plt.yticks(fontsize=50)\n",
    "plt.grid(linestyle='--', dashes=(12, 12))\n",
    "\n",
    "\n",
    "plt.sca(axes[0])\n",
    "\n",
    "plt.xlabel('')\n",
    "plt.ylabel('')\n",
    "\n",
    "ball = mpatches.Circle((0.0, 0.0), 2.0, color=palette[0], alpha=0.4, figure=fig)\n",
    "\n",
    "c_patch = mpatches.Patch(color=palette[0], alpha=0.4, label='$p(x)$')\n",
    "plt.legend(handles=[c_patch], fontsize=70, bbox_to_anchor=(0.5, 1.1), loc='center',\n",
    "           frameon=False, handlelength=1.5)\n",
    "plt.gca().add_patch(ball)\n",
    "\n",
    "plt.xlim([-2.4, 2.4])\n",
    "plt.ylim([-2.4, 2.4])\n",
    "\n",
    "\n",
    "plt.gca().tick_params(axis='both', which='major', pad=15)\n",
    "plt.xticks(fontsize=50)\n",
    "plt.yticks(fontsize=50)\n",
    "plt.grid(linestyle='--', dashes=(12, 12))\n",
    "\n",
    "plt.subplots_adjust(wspace=0.4)\n",
    "\n",
    "plt.savefig('./figures/support_slice.pdf', format='pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "class DensityP(object):\n",
    "    def __init__(self):\n",
    "        self.weights = np.array([40, 30, 30]).astype(np.float64)\n",
    "        self.weights /= np.sum(self.weights)\n",
    "        self.locs = np.array([-1.3, -0.3, 1.5])\n",
    "        self.scales = np.array([0.5, 1.2, 0.9])\n",
    "        \n",
    "        self.left_clips = (-2.0 - self.locs) / self.scales\n",
    "        self.right_clips = (2 - self.locs) / self.scales\n",
    "        \n",
    "    def __call__(self, x):\n",
    "        if isinstance(x, float):\n",
    "            x = np.array([x])\n",
    "        comp_pdf = scipy.stats.truncnorm.pdf(x[:, None], \n",
    "                                             self.left_clips[None, :], self.right_clips[None, :], \n",
    "                                             loc=self.locs[None, :], scale=self.scales[None, :])        \n",
    "        pdf = np.sum(self.weights[None, :] * comp_pdf, axis=1)        \n",
    "        return pdf\n",
    "        \n",
    "    \n",
    "density_p = DensityP()\n",
    "\n",
    "class DensityQ(object):\n",
    "    def __init__(self):\n",
    "        self.weights = np.array([60, 15, 10, 15]).astype(np.float64)\n",
    "        self.weights /= np.sum(self.weights)\n",
    "        self.locs = np.array([0.2, -0.7, 1.2, -1.8])\n",
    "        self.scales = np.array([0.7, 3.5, 2.0, 1.2])\n",
    "        \n",
    "        self.left_clips = (-2.0 - self.locs) / self.scales\n",
    "        self.right_clips = (2 - self.locs) / self.scales\n",
    "        \n",
    "    def __call__(self, x):\n",
    "        if isinstance(x, float):\n",
    "            x = np.array([x])\n",
    "        comp_pdf = scipy.stats.truncnorm.pdf(x[:, None], \n",
    "                                             self.left_clips[None, :], self.right_clips[None, :], \n",
    "                                             loc=self.locs[None, :], scale=self.scales[None, :])        \n",
    "        pdf = np.sum(self.weights[None, :] * comp_pdf, axis=1)        \n",
    "        return pdf\n",
    "        \n",
    "    \n",
    "density_q = DensityQ()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_grid = np.linspace(-2.0, 2.0, 250)\n",
    "plt.plot(x_grid, density_p(x_grid))\n",
    "plt.plot(x_grid, density_q(x_grid))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1.0, 5.838586938141516e-12)\n",
      "(1.0000000000000002, 1.1102230246251565e-14)\n"
     ]
    }
   ],
   "source": [
    "print(scipy.integrate.quad(density_p, -2.0, 2.0))\n",
    "print(scipy.integrate.quad(density_q, -2.0, 2.0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2793951896040762 0.7185922189571127\n",
      "0.556960255233064 0.7071844699289485\n"
     ]
    }
   ],
   "source": [
    "f_val = density_p(x_grid) / (density_p(x_grid) + density_q(x_grid))\n",
    "plt.plot(x_grid, f_val)\n",
    "plt.show()\n",
    "\n",
    "print(np.min(f_val), np.max(f_val))\n",
    "print(f_val[0], f_val[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "33970708a4974c19bae983583ab0e57f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, max=150), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "int_x_grid = np.linspace(-2.0, 2.0, 15000)\n",
    "f_grid = np.linspace(0.0, 1.0, 150)\n",
    "\n",
    "def f(x):\n",
    "    return density_p(x) / (density_p(x) + density_q(x))\n",
    "\n",
    "c_pf_p = []\n",
    "c_pf_q = []\n",
    "\n",
    "for f_value in tqdm.notebook.tqdm(f_grid):\n",
    "    \n",
    "    def indicator_f_p(x):\n",
    "        ind = np.less_equal(f(x), f_value).astype(np.float64)\n",
    "        return ind * density_p(x)\n",
    "    \n",
    "    def indicator_f_q(x):\n",
    "        ind = np.less_equal(f(x), f_value).astype(np.float64)\n",
    "        return ind * density_q(x)\n",
    "    \n",
    "    y_ind_f_p = indicator_f_p(int_x_grid)\n",
    "    c_pf_p.append(np.trapz(y_ind_f_p, int_x_grid))\n",
    "    y_ind_f_q = indicator_f_q(int_x_grid)\n",
    "    c_pf_q.append(np.trapz(y_ind_f_q, int_x_grid))\n",
    "\n",
    "c_pf_p = np.array(c_pf_p)\n",
    "c_pf_q = np.array(c_pf_q)\n",
    "\n",
    "\n",
    "d_pf_p = np.diff(c_pf_p) / (f_grid[1] - f_grid[0])\n",
    "d_pf_q = np.diff(c_pf_q) / (f_grid[1] - f_grid[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(f_grid, c_pf_p)\n",
    "plt.plot(f_grid, c_pf_q)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.ndimage import gaussian_filter1d\n",
    "\n",
    "sigma = 1.2\n",
    "d_pf_p_smooth = scipy.ndimage.gaussian_filter1d(d_pf_p, sigma=sigma)\n",
    "d_pf_q_smooth = scipy.ndimage.gaussian_filter1d(d_pf_q, sigma=sigma)\n",
    "\n",
    "f_min = np.min(f_val)\n",
    "f_max = np.max(f_val)\n",
    "\n",
    "fig = plt.figure(figsize=(12, 9))\n",
    "\n",
    "plt.grid(linestyle='--', dashes=(5, 10))\n",
    "\n",
    "plt.plot(f_grid[1:], d_pf_p, c=palette[0], linewidth=5, alpha=0.5)\n",
    "plt.plot(f_grid[1:], d_pf_q, c=palette[1], linewidth=5, alpha=0.5)\n",
    "plt.xlim([0.0, 1.0])\n",
    "\n",
    "plt.xticks(np.linspace(0.0, 1.0, 11), fontsize=30)\n",
    "plt.yticks(fontsize=30)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.38803070506465387 0.20802174643368831 0.65100093807052\n",
      "0.21966994896500316 0.11766425708777499 0.6511938161724232\n",
      "2.7192906562611814 1.4784963801512865 0.6477914750494713\n",
      "2.7359692856973408 1.4843740028215837 0.6482812175825381\n"
     ]
    }
   ],
   "source": [
    "x_1 = -1.0\n",
    "x_2 = 1.57\n",
    "\n",
    "px_1, px_2 = np.interp([x_1, x_2], x_grid, density_p(x_grid))\n",
    "qx_1, qx_2 = np.interp([x_1, x_2], x_grid, density_q(x_grid))\n",
    "fx_1 = px_1 / (px_1 + qx_1)\n",
    "fx_2 = px_2 / (px_2 + qx_2)\n",
    "fx_avg = 0.5 * (fx_1 + fx_2)\n",
    "\n",
    "d_pf_p_a = np.interp(fx_avg, f_grid[1:], d_pf_p)\n",
    "d_pf_q_a = np.interp(fx_avg, f_grid[1:], d_pf_q)\n",
    "\n",
    "d_pf_p_smooth_a = np.interp(fx_avg, f_grid[1:], d_pf_p_smooth)\n",
    "d_pf_q_smooth_a = np.interp(fx_avg, f_grid[1:], d_pf_q_smooth)\n",
    "\n",
    "print(px_1, qx_1, fx_1)\n",
    "print(px_2, qx_2, fx_2)\n",
    "print(d_pf_p_a, d_pf_q_a, d_pf_p_a / (d_pf_p_a + d_pf_q_a))\n",
    "print(d_pf_p_smooth_a, d_pf_q_smooth_a, d_pf_p_smooth_a / (d_pf_p_smooth_a + d_pf_q_smooth_a))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['serif'] not found. Falling back to DejaVu Sans.\n",
      "findfont: Font family ['serif'] not found. Falling back to DejaVu Sans.\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzoAAATMCAYAAABP3fI+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOzdeVxU57348c8ZYABBHHAD1xFcYmJiApjVLI3QrG3SVuKv+xal7e1ym9zK9Xa5vV0uhdvl3vb23qptetu0aRWapE2bDUzSLGYRMImaVXHcwQVHUASGOc/vjzMzogKCzJln5vB9v17EEc7M+frNMHO+8zzP9zGUUgghhBBCCCGEk7h0ByCEEEIIIYQQ0SaFjhBCCCGEEMJxpNARQgghhBBCOI4UOkIIIYQQQgjHkUJHCCGEEEII4TjJugMYrSZMmKC8Xu+IHqOnpwe32x2dgESE5NU+klt7SF7tIXm1j+TWHpJXe0he7RON3DY2Nh5WSk3s72dS6Gji9XppaGgY0WM888wz3HDDDdEJSERIXu0jubWH5NUeklf7SG7tIXm1h+TVPtHIrWEYuwb6mUxdE0IIIYQQQjiOFDoJbKRT30T/JK/2kdzaQ/JqD8mrfSS39pC82kPyah+7c2sopWw9gehfcXGxGunUNSGEEEIIIUYzwzAalVLF/f1MRnSEEEIIIYQQjiOFjhBCCCGEEMJxpNARQgghhBBCOI4UOkIIIYQQQgjHkUJHCCGEEEII4ThS6AghhBBCCCEcRwqdBObz+XSH4EiSV/tIbu0hebWH5NU+klt7SF7tIXm1j925lUIngckvnj0kr/aR3NpD8moPyat9JLf2kLzaQ/JqHyl0hBBCCCGEEGKYpNARQgghhBBCOI4UOgnM6/XqDsGRJK/2kdzaQ/JqD8mrfSS39pC82kPyah+7c2sopWw9gehfcXGxamho0B2GEEIIIYQQCcswjEalVHF/P5MRHSGEEEIIIYTjSKEjhBBCCCGEcBwpdIQQQgghhBCOk6w7ACGEEEIIMTilFN3d3bS3t3P8+HECgQCmaeoOS4h+uVwuUlJSyMzMJCsri9TUVAzDiHkcUugIIYQQQsSxQCDAnj17ME2TrKws8vLycLvduFwuLRePQgxGKYVpmvT09NDR0cHevXtxuVxMnz6dlJSUmMYihY4QQgghRJwKBALs3r0bj8dDTk6OFDYi7hmGQVJSEunp6aSnpzNx4kTa2trYvXs3M2bMiGmxI2t0EpjP59MdgiNJXu0jubWH5NUeklf7SG6HRinFnj178Hg8jB8//pxFTnd3d4wiG10kryNjGAbjx4/H4/GwZ88e+m5tY/drgRQ6CUzeKOwhebWP5NYekld7SF7tI7kdmu7ubkzTJCcnZ0jH9/T02BzR6CR5jY6cnBxM0zytcJRCRwghhBBiFGpvbycrK0umqwlHMAyDrKws2tvbY3ZOKXSEEEIIIeLQ8ePHGTt2rO4whIiasWPHcvz48ZidTwqdBOb1enWH4EiSV/tIbu0hebWH5NU+ktuhCQQCuN3uIR8/nGPF0Eleo8ftdhMIBCJ/t/u1QAqdBCZvFPaQvNpHcmsPyas9JK/2kdwOjWmauFxDv1RLTU21MZrRS/IaPS6X67T9n6TQEUIIIYQYpWR9jnCSWD+fpdARQgghhBBCOI4UOkIIIYQQQgjHkUJHCCGEEEII4ThS6AghhBBCCCEcRwodIYQQQgghhONIoZPAfD6f7hAcSfJqH8mtPSSv9pC82kdya4/u7m7dITiS5NU+dr8WSKGTwOSNwh6SV/tIbu0hebWH5NU+klt79PT06A7BkSSv9pFCRwghhBBCCCGGSQodIYQQQggh4lBFRYUjzxUrUugkMK/XqzsER5K82kdyaw/Jqz0kr/aR3NrD7XbrDsGRdOW1rKyM0tLSmJ2vtLSUsrKymJ0P7H8tkEIngckbhT0kr/aR3NpD8moPyat9JLf2SE1N1R2CI+nIa7jIKSkpidk5S0pKWLRoUUyLHSl0hBBCCCGEGCWqq6sBWLFiRczPvXLlSvx+fySGRJesOwAhhBBCCCEENDU1UVlZyc6dO7XFUFNTw6xZsygpKaGwsFBbHNEgIzpCCCGEEELEgeXLl7Nq1So8Ho+2GDweD6tWrWL58uXaYogWKXSEEEIIIYTQrLa2lubmZlauXKk7FFauXElzczO1tbW6QxkRKXSEEEIIIYTQrKKiQsu6nIGsWLEi4VtOS6EjhBBCCCGERvX19TQ3N1NeXq47lIjy8nKam5tpamrSHcp5k0Ingfl8Pt0hOJLk1T6SW3tIXu0hebWP5NYe3d3dukNwpFjkdfXq1RQWFpKfn2/7uYYqPz+f/Px8Vq9ebds57H4tkEIngckbhT0kr/aR3NpD8moPyat9JLf26Onp0R2CI9mdV7/fT21tbUz3zBmqpUuXsmbNGtseXwodIYQQQgghHKq+vh6AZcuWaY7kbKWlpcCpGBONFDpCCCGEEEJosmnTJoC43LMmPMpUV1enOZLzI4VOAvN6vbpDcCTJq30kt/aQvNpD8mofya093G637hAcqW9e6+vrKS0tpaCggKKiorNGOpqamigrK6OoqIiCggLKysrOuZi/vr5+RGtz1qxZEzlfQUEB1dXVZx1TXl4eOaa0tJTm5uYhP77H47FtRMfu14JkWx9d2EreKOwhebWP5NYekld7SF7tI7m1R2pqauT25d9PzKlG/Xnl63rXroTzGu6K1tjYiMfjoaioiNLSUhobGyksLKSsrIycnBzWrl0b2fCzoqKCoqIiVq9ePWDr6KampvNen1NWVgbAhg0b8Hg8NDU1UVRUxKZNm6ipqcHv97NkyRKqqqoiTQXCMe3cuXNIG5MWFxcnbKEjIzpCCCGEEEKcQ0VFBatXr44UB+HipKKigtLSUpYtW3bazwGqqqrweDyUl5fj9/vPeszw985n2lpZWRn5+fnU1NREzllYWMiKFSuora2lvr6e5cuXs2rVqkistbW1VFdX4/f7h1y8hEeb+os/3kmhI4QQQgghxCD8fj/Nzc2njbyEL/zr6+spKytj6dKl/d63b0F0poaGBgDGjx8/rHhqa2sBq5A6U7iBQLi46htXZWXlsM4DRIqo4Ux3ixcydU0IIYQQwmF0T/dymvXr1581vSxcpIRHUQaSk5Nz2vF9hYuloUwh66uiooLGxsZ+f9bW1gZYhcmZhdCyZcsiBdtAhdmZwkVYc3NzXDZMGIwUOkIIIYTdlIKOFji6E/y74dge6GyDrmPQ3Q5m0DrGcEHqWEjNhPRsyJoK46ZB9izImQWuJN3/EiFGpbq6OlatWhX5u9/vjzQZKC8vH/S+4cKjv6YE4Z8NR3jPnYGKo74F0JnFzMqVK1m5cuWwzjfcIiyeSKEjhBBCRFuwF1q3wK4XYX8TtG6zCpuzqHM8kHHqZkoaTLwAplwGM66EqcVWQSSEsF1NTc1pf++7vuVcjQTO1XUNTo36DEV+fn6/U9bC1q9fD5xd5JyvcGznU5TpJoWOEEIIEQ09nbDzWXjncfA9B93H+/xQWSM2ff8cDsOwHn9/E+zfDA2/BlcyTF8Ec26COaWQMSGK/xghxGDC+8p4PJ5ztoYOr20ZSQvpvgabPtbU1BSZDhePG5DGmhQ6Cczn80mLThtIXu0jubWH5NUeQ8qrUrCvEbbUwjuPQaAr/APrZ8okUtQkp0G215qOljUFxkywpqm5M6yixTDANCHQCT0dcPIodLRC+35rytvJttPrIxWEXRutUaMN34FZ18HFZZB/PSSlRD0f0STPWXt0d3ef1mJaREd/eQ2P6JxrNKfvyM9gBUq0RkvWrVsXuR2tEZ1wbMMZdRoqu18LpNBJYPJGYQ/Jq30kt/aQvNpj0LwGuuCNh6HxN9AW7kQUKmyUaf11TA7kFVpTzSbNt4obYwTNTk8ehUNvQ8vr1shOW/OpcxkuaH4amp+BjIlQ+HFY+P8gbdz5n89G8py1R09PjxQ6Njgzr+EObHDuUZO+U976OzbaxUO4G9v57svTHzvbSkuhI4QQQsSLrnbYfD803W8VHtCnuFHWaM2s662vbK81ShMt6dnW2pwZV1p/P3HIGtHxPQstW6wRHgw43grP/Qhe+l+r2Ll8hVV0CSGiYjjrc8LrZTweT78jLNHco6a5uTlSgIU3Eu1PfX39sAqhI0eOANGbehdLUugIkQDaTvTwxv52Wtu7OHy8G//JACkuA3eyi8zUZGZOyCB/QgZTPekkJ8n2WEJEXU8nbP4dbPql1Smt7+hNchrk3wAX3A7j50S3uBlMxkS48A7rq/0AvPs4vPPEqSluPceh4T547Y9Q9Cko/gykZcUmNiEcLLw+Jz8/f9COZPX19ZECZqDmAeHiIVxMjER4NAfgrrvu6vcYv99PeXk5O3bsGPLjhv8NUuiImJJhf3vEQ15NU7F5z1Ge3NZK466j7G7rHNL9MlKTuWJWDtfMnsC1cybgGeO2OdLhiYfcOpHk1R5er9daM/PGw/D8j+H4IU4rcMZMgAUfhLm3gnuM3mCz8qDo03Dpx6wpbFv/ZK3rUaZV8Lz0P1bBc+09sOBD2ttUy3PWHm53fL3mO8WZeR3q+pzwBqGD7bMTLpSG0pktfFx4tKauru604qPv+pyBCrDKyspztsM+U3iUyI4203a/Fkihk8DkjcIeOvPa3hVg/aY9PPLafg4csxY1q9B/TKUit9UZHZsMw8AAOroCbHjrIE+9dZCUJBfvvWgyZUXTuXBKfHyKK89Ze0he7eF1++GBe6Flq/UNFbQKh8xJcOnHoeDG+Fv0n5QCc94Ls0th94vQ9JtTBU/nYXjym/DaH6Dk25C3UFuY8py1h6zPscdA63MGayBQW1tLU1MTHo/nrNbUZyosLIw85rlUVFREjm1qaooUOn0LpYEKkubmZmpra4c1mgPWRqd2bRQqhY4Qo0BHV4A/vrKHP2zazfGuXsAqbEwFSimSXQYFEzOYljOG8RluPOkpBJUiEFT4O3vY03aS3W2dHO3sARQGBkEV5K+vH+Bvrx9gkTeHL944m/l58VHwCBHXuo/D8z+BV38fagVtWht6pmfDZZ+wCol4K3DOZBgw82prPU/zM9B4Hxw/aBU8LVvhgf8HRZ+Eq7+sfzRKiATSd31OuJXzmYVFeNTF4/HQ2Nh4zilfJSUlVFdXD+n84eIqPz//tBGlyspKNmzYwJIlS/qNy+/3U1ZWds6iqz9+vz+qzQ1iSQodITRSSlH3Ris/evKdUJFiFThBU5HhTuaa2RNYPGc8cyaNxZ08+NobpRR7jp5k8+6jbNxxhB0Hj9OLwjAMXtnZxifve4WbLsrlS0tmM2lsWiz+eUIknp3PwZNft9o6o6wCx5UElyyDhR+BlHTdEQ6P4bJGnmZeDVtq4PV10NttFTwN98H2eri5CqYV6Y5UiITQd33O6tWrWbJkCRs2bIgUFWvWrKG8vJySkhJqamqGNN1r0aJFgFUgnWvkZNmyZTQ1NVFXVxd57PLycpYtW4bH42Ht2rUUFRWxfPnySFFTX19PeXk5NTU1wx6ZCRd2paWlw7pfvJBCRwhNWtu7qHrsLZ7ffhg4VeDkjkunrGgq18yeQMowGgsYhsGMnDHMyBnDHZdO5d3WDh7b2sLz2w/Ta5q4DIPHt7Xwwo7D3Fs6j1svzsWI1aJpIeJdTyc8Ww2v/sH6e3ia2pTL4Jp/hLF5euMbqeQ0uOzjMLsEXvgvqz212QtHd8G6j8GVn4MrvxD/I1VCaNZ3fU5JSQlVVVWUlZXR1taG3++nsLCQurq6YY2AhI9dt27dOQuRlStXAlbhES50qqqqIo9RWFhIY2MjFRUVFBQURDY0PXM9z1CFC7tEHdExlBrm7swiKoqLi1VDQ4PuMIQmG3cc5lt/3kb7yQAKCJoKT3oKH7tyBtfOmUiSK3oFyL6jJ/n9y7t5xdeGUgqXyyDJMFg8ZwLfvO1CsjNk8aoY5Vq3wV+/al30h0dxUjPhii9YoyFO+0BAKdheBy//Aro7rFEfVxLkXQq3/wTGTdUdoQh58803mT9/vu4wRIjf7yc7Oxuw9seJ1oacYLWDbm5uprGxMWqPGQ1FRUXk5+ef15S3gUT7eW0YRqNSqri/n0kfWiFiKGgq1j7bzFfXvUr7yUBoFMfkvRdO5qcfvpQb5k2KapEDMDU7nZU3z+Pb77uQ3HFpmKai11Q89+5hPvnrV3jzQHtUzydEwlDKahn9wDKryFGmNcox7XL44K9g9hLnFTlg/ZvmvBfuXG2NWKGsf/eBzXD/B6zpe0KIswxn/5zhKi8vj6ytiRfNzc00NTUNu0tbPJFCR4gY6e4N8i8PbmHtc80oZRU9Y9NS+M77L2LFdfmMcds7k3TB1HH8qGwht15sTcHpDZrs95/k7t808NfX99t6biHiTvdxeOQrsOG7EOwB1QtJybD4Hij9DqRHv41q3MmcCDdVwqK7wZUMwV5rD54Hl8PG/7ZaawshIoa6f875KCkpwePxUFlZGdXHHYnVq1fj8XgSdtoaSKGT0Hw+n+4QHMmOvHZ0BfjyHzbz9NsHUVhFxgV5Y/lx2UIunDIu6ucbSFpKEp9dPIt/vnkeGanJBE1FVyDIdx55g7XPNmP3VFZ5ztpD8jpMR33WKM47TxAZzfB44c5fwNybI6M4vpaBW8c6hisJLr4LbvkhZEywRrWCAdj4U/jbVyFw0pbTynPWHt3d3bpDcKRwXoe6f875qqqqYs2aNbY89vlYs2YNa9eutfUcdr8WSKGTwOSNwh7Rzuvh492U39/I5t1+lLKKnFsuzuPb77uIcWP0LPwt9uZQ9aGLmZEzBlNZU9nWPNdM9RNvEzTtK3bkOWsPyesw7HwWfrcUjmw/NVVt3i3w/p9B1ulrU3wtRzUFqcHkC+GO/7HW6YSLv7cfgz9+NNSBLrrkOWuPnp4e3SE4Uk9PD83NzZH9a4qK7OlSuGLFCnJycuKi2KmuriY/Pz+q65D6I4WOEAnM39nDFx9oYvvB46GCwuSjV8zgs4tnRX0tznDljUvn3z9wMZdO9wBWx7faxr18889bCQRlyopwoNfXw0Ofsxbgq6A1crP4Xrjmq5AkTTlIz4ab/h3m3wEYVrHTsgUeKIPD7+qOTgit7Fyf01dNTQ0VFRVa1+r4/X4qKyttH82JBSl0hLBJe1eALz6wmeZDJzCVQin4h/fM5oOF03SHFpHuTmLVLRewePZEAIJBk7o3Wvn2X7bRK8WOcAqlrA1An/ymdfFu9kKaB277Ccy9SXd08cWVDFf9A1z9JTCSrLVL7fvhDx+GvdIpVIw+fr+fV199laqqqsj36uvraW5utqUYKSwsZMWKFSxfvjzqjz1Uy5cvZ9WqVcPecyceSaGTwLxer+4QHCkaee3s6eUrf9jMO60dmEphKsWXbpzNjRdMGnmAUZac5OLLS2Zzy4JcMAx6gyZPvtHK9/72ZtSnsclz1h6S10EEA/BYBbz0CyJTsnJmWdO0Js4b9K7e3OzYxBiPLrgd3vt9SMmw2m13+aHmU/Bu/TnvOhTynLWH2y0jk9HU3NxMdnY21113HW1tbadt0FlQUGDbFLaqqir8fj+1tbW2PP5g1qxZg9/vj+zXYze7Xwuk0Elg8kZhj5HmNWgqvvHwVrbtb0eFNgH9/PUFXDd3YnQCtIHLMPjMNV5uWWBtItobNPnblgNUPf5WVBsUyHPWHpLXAXS1w5/uhjf+TKTImVJkjeSMyTnn3b255z7G0aYWwq0/hDHjrfVMvSfhkS/Bm4+M+KHlOWuP1NRU3SE4Sn5+PkoplFIcPXqUo0ePRv6ulGLHjh22nbuuro7Vq1fT1NRk2znO1NTURE1NTaS7XCxIoSNEgvlJ3Ts8/+5hq7uaqbh78SyWzJ+sO6xzMkLFznsvnIxhGASDJg9t3sevnt+pOzQhhu/4QVj3Udj9EhBqOjDnvfDe70JKuu7oEsf42dYmollTrSmAvT3w6Nes9U5CCFuFi51YWbduXUyLnFiQQkeIKFq3aTfrG/ZEWki/f+EUbgntW5MIDMPg7mtncf3ciWAYBE3FmmebeeQ12WdHJJCOFlj3MTj0zqnOapd+zGo84LJ3vypHGpsHt/4IsmcBypoO+OQ34LU/6o5MCMeLZaHTdx2SU0ihI0SUNPja+Emd1ZkoaCquzB/Px6+aqTmq4XMZBp+/Pp9Lpo6DUOvpf3/0TV5uPqI7NCHOrX2/VeQc3WUVOSi45h4o/ERkfxxxHsbkwC3/ARPmYk0DDELdt2Drg7ojE0KIAUmhI0QUHOzo4hsPb8UMrckpmJjBV5bMwZWgF1bJSS7+6aa5zJyQgVKKnl6Tf3loC3vaOnWHJsTAju21ihz/Hqt9NApu+BdrnxwxcmlZcPMPYOIFRIqdJ/4F3npUd2RCCNEvKXSEGKFA0GTVn7bQdqIHUynGpiVTcfMFuJMT+9drjDuZr986n/EZqZhK4T8Z4Gu1r3Giu1d3aEKc7egua3PLY/tCRY4BN34LZl2nOzJncWda3dhyCohMY3v03qh1YxNCiGhK7CsxIeLAzza8y5Z9x0JdWOCe0rnkZDijxWdOhpuv3TQXd7IL01RsP3icf3tkG2aU204LMSJtO62RnI6W0EagLljybZh5te7InCl1LNxUCR4vEGpQ8NevQPPfdUcmhBCnkUIngfl8Pt0hONJw8rpx+2H+uGlPpMPaRy6fzoKp42yLTYc5k8dSfl2+1YnNVDz99iF+//Ku83osec7aY1Tn1b8H1n/c6rIWLnJKvgMzrhjxQ/ta2qIQoEOle+DmSqsbGwoCXfCXL8KuF4d091H9nLVRd3e37hAcSfJqH7tfC6TQSWDyRmGPoea17UQP3/nrG4DVfKBwRjZ3XjbVxsj0uWHeJG67ODfUdlrx86d38Pre4e8ILc9Ze4zavB4/BLWfsf5UQTCSoPT7MK04Kg/vazkalcdxrDHj4eZqyMzFKnY64c9fgINvnvOuo/Y5a7Oenh7dITiS5NU+UuicJ8MwlhqGsdowjKrQ12rDMPJtOlejHY8r4pdSiu/97Y3IupystGS+eONsjARtPjAUH79yJnMnZwKKQNDk6w9t4VhnQHdYYrTqOgZ/+gz4d58aySn9Lky9THdko0vmRLi5CjImWPvsdHfAg8uh/YDuyIQQwpmFjmEYq4FlSqlypVSFUqoCqADqDMMoifK5VgKF0XxMEf8e2rwvsilo0FR88cbZjEtP0R2WrZKTXHy1ZC6ZaSmYSnHgWBf/9tdtKCXrdUSM9XTCg+Wn9slBwXu+DlPlpViLrDyrQYE7wyo6O1qsYqerXXdkQohRznGFjmEYS4G7lFJlfb+vlPID5UCNYRieKJ0rH1gVjcc6H16vV9epHe1ceW051sXPntoOWEXOLQtyKZyRHYPI9Js4NpUvvqcAV2i9znPvHqa2ce+Q7y/PWXuMqrwGA/CXL8H+zac2A73mHph5TdRP5c0dHb/XUZE9y+py50qx2k4fehse+bL1/6sfo+o5G0NutzMa4cQbyat97H4tcFyhA1QBa/r7gVIq3P8yWsVJOaCtp6a8UdhjsLwqpah87E1OdPcSNBWTs9L4xFUDH+9Exd4cbrskL7Je56cb3mXXkRNDuq88Z+0xavJqBuHRfwLf84BpjR5c8TmYe5Mtp/Pm5tjyuI415TJY/FVrGqHZC7tesDYV7WfUd9Q8Z2MsNTVVdwiOJHm1jxQ6w2AYRiGQD2wa5LAGYEUUzrUUWAdIW55R5G9bDvDijiMoQKH44nsKEn6/nPPx0StmMHP8GBSKzp4g3/rzNgJBU3dYwsmUgqe/D28/TmSzyoUfgQUf0h2Z6Gt2KVz28VCxE4Stf4IXf647KiHEKOW0K7Tw+pvmQY5pBjwjaUwQmvq2SCnVdL6PIRLP4ePd/KTuHcCasnbzRbnMz8vSHJUeKUkuvnzjbFKSXJhK8cb+Y9z3/E7dYQkna/oNbP49VpHTCxe8Dwo/qTsq0Z9LPwpz3mvdNnth40/hjb/ojUkIMSo5rdBZFPpzsEJnR+jPkaxaXQVUjuD+IgH9dMO7dHT1YirFhEw3H7typu6QtJo5PoMPXz4DwzDoNRW/fsHH2y0dusMSTvRuPTzzAyJFzszFcNU/gIO7HCY0w4CrvwxTQm+zZhCe/Dq0vqE3LiHEqOO0QscDkcYDAwn/7LwmX4emx206xzmEwzT42nh8a0uky9rnry8gLSVJd1ja3X5JHhfmZWEAgaDJdx6RKWwiylq2wN/usaaumUGYMA9u+GdrapSIX0kpcOM3wDODU3vs/AN0ymxvIUTsOO2dYjjFy/l2XitXStWe531FAgoETaoffxuwipyrCsazcHpUGvclvCSXwRduKCA1JQlTKd5u7eC3L+7SHZZwimP74KHPQW83qF5rz5bS70KSdEBKCO5MWPKv1p/KhGN74K9fhWCv7siEEKNEsu4Aomw4V5/jh/vghmGswOrqdl5C918BMGXKFJ555pnIz7xe76CdJ3w+32m7x8rxsTv+gZd3s+NgO73BIKkuuNHjp61lHzm5Uwd8/LaWfbS17ov8PWfyVMcenzsujffNG8u6Vw9hAv9T/yZzMnu47tJ5Az5+PP3/lePj9PjcHHioHE4ctrqrJafDTZWQ7sHX0oav5eip43OzB+2QJsdrPH7cdFou/jzZL1eBCsD2v3PyL1/H84GB30oT4vmp8fju7m56enoif3e73YN2BZPj5fh4Pj4avy+DMZy02Z9hGDuAfKXUgBO3Q8XGaqA6tJHoUB/bA6xQSlWf8f3Voe8Pa7J4cXGxamhoGM5dzuLz+aRFpw365rW1vYulv9hId8AkEDT51NVe3rdwit4A41DQVHzzz1t5p6UDwzC4dLqHtZ8oxuU6/ddCnrP2cFxeg73WhpO7NoY2BAVu/gHkLYxpGL6WNmkxHS2b74fNvwMUuJI5uGglk66/W3dUce/NN99k/vz5Qz6+u7tbWiHbQPIaXX2f19F4/zIMo1EpVdzfz5w2dW04jgzz+FVnFjm69a1oRfT0zevPn95Od8AkaCqm54zh1ovz9AUWx5JcBp+/voDkUBe21/f6eWjzvrOOk+esPRyX12errSInvFfO4ntiXuQAp41aiBG69JY/R5wAACAASURBVKMw4yrrttnL2BerpDmBDfp+ki6iR/JqH7vfv5xW6PghMvoypGOHIrRnTt35BiUS05a9xyINCEyluHvxLJJcwxq4G1Wm54zhzsumWhuJmlaRePh4t+6wRKLZ9hA0/oZTe+V8GOaU6o5KjJThguu+FmpOAC4zYDUnOCl9fYQQ9nFaoRNuKz3YXINwETSc1i+LlFL15xeSSERKKX5Sb+2ZY5qKy705LJg6TnNU8e+Dl00lNysNhaK9K8B/hnIoxJC0bIEnv0WkjfT0K2SvHCdxZ/RpTqCs5gRPfN26LYQQNnBqoTPYiE5B6M8hbfYZWtOz1DCMxv6+gLtCx/X9Xkw4ak5+HPF6vTyxrZWt+46hlLUlxCev8eoOKyG4k10sv24WLsMgaCqe2NbKy82nZonKc9YejsjricPWJ/zBHmskZ9w0uH6V1jbS3txsbed2rHHT4dp7SUpyWeuvtteF1u6IaHC7pSOhHWKZ14qKIS8fT6hzDcTu9y+nFTrrQn/mD3JMPuBXSg22qWiEUmqNUqpAKVXU3xfQEDqu7/diwhEXN3Eob9p0fv70dgCCSnHbxXnkZqVpjipxLJzm4ZrZE0JT2BQ/qnsnsreOPGftkfB5DQbgL1+GjlZrTU5KOpR+D9xjtIYljQhsMvMakhd8ADCskbu//wBatuqOyhFkwbw9YpXXsrIySktjN1W3tLSUsrKymJ2vP1LoDINSqglr7c1gz5ISYE1sIhKJqKZhL63tXZhKkZmaTFnxNN0hJZxPXj2T9JQklFK829rBp3/9CkXfrWPeNx6j6Lt1fOeRbexp69QdpogXT38f9jViNR9Q8J6vQ5Z0N3S0Rcth/GzrdqDL2l+nu0NvTEJoFC5ySkpKYnbOkpISFi1apL3YsZOjCp2Q5cBd/TUkCDUV8AOV/d3RMIwawzDqhtjMQDhQR1eAX7+wE7BaJpcVT2OM22nbTdkve4ybpUVT6TUV/s4AL2w/QmdPL8kug5OBIH/ctIfbf/Y8z717SHeoQrfXa+DVPxBpPlD0KZi2SHdUwm5JKVZBm5IBmHB0Jzz5TVmvI0al6mqrqe+KFStifu6VK1fi9/sjMTiN4wodpVQtsB5Y2/f7oeKlCihTSp3V5sUwjBJgKdaIz13DOGVO6P6DTZcTCeK3L+6io6sXUykmjU3lpgsn6w4pYRXOyOZEdy/hy5ZeU2EYBq7QV0+vyRcf2CwjO6NZ6zbY8B0izQe818Il/093VCJWsqbANV8BQut13n4UXl+vOyohYqqpqYnKykrWrl177oNtUlNTQ2VlJU1NQ1q+nlAcV+gAKKXKgXWGYaw2DKPKMIwqrCKndKDuaaHvN4W+Bn2lNQwj3JxgB1AY+na4GcHq6P1LRCwd7Ojij5t2o7BGcz5yxQySkxz5KxITf3ltP8kuFwaggN6gwuzzaW2Syyp2/m+jT1eIQqeudnjkK1bzARW02g5f9zWr+4cYPfJvgHm3Elmv8/T34NDbmoMSInaWL1/OqlWr8Hj0TSbyeDysWrWK5cuXa4vBLo69ilNK1SqlypVSFaGv8nM1IOjTUGDQxv6hxy4KNSkwQl/Zoe+VR/dfImLlV8/tpDtgYpqKmeMzuGb2BN0hJbQNbx7E5QJXaO8hBXT3mqcdYxjw8KtnbywqHE4peHwV+PdYn+QnpULJv0GyNP0Yla74HGR7rduBTvjbvdAre3AJ56utraW5uZmVK1fqDoWVK1fS3NxMbW2t7lCiyrGFjhDDsfdoJ4+8tj+yOegnrpyBSz5ZHpHOniAGkJJkYABmdyeBkyfoNU8VOwZwoqtXV4hCl4b7YHs9oED1wuJ7IGuq7qiELsmp1nqd5DQwTWtE5/n/1B2VELarqKjQsi5nICtWrIiLltPRJIVOAvP5fLpDcIz7nvfRaypMU1GQncLC6dKPYqTGuJNQgMswSE46VTT29Jqo0ModBWSkSbOHkUqo14J9jfDcj4isy5n/fmv6UhzytQxnX2kxHGfl1jMDFt1t7ZukglYxvPslPcElsO5uGQmzgx15ra+vp7m5mfLy+JkIVF5eTnNzc0zX6tj9/iWFTgJLqIubOLanrZPHth6IjObcmNeLIaM5I7Zk/qTI7WTXqZcapSAQVJHbd14qn+SPVMK8Fpw4Ao/8o9VdzQzC+Dlw+ed0RzUgX8tR3SE4Vr+5veB9MK3Yum32wmMV1louMWQ9PT26Q3AkO/K6evVqCgsLyc+Pn15W+fn55Ofns3p17JabS6EjhM1++VwzwdBozoVTspjtSdIdkiN8sHAqKS4XQVOdtr5cAYFek96giTvZxaeu9uoKUcSSGYRH/wmOH7Q+sXePgSX/arUZFgKsRXuL74HULMCE9n3w1Hd1RyVE1Pn9fmpra2O6Z85QLV26lDVrnLPdpBQ6YlTzHT7BE9taI6M5H718hu6QHCNvXDrfvH0+7iQXpqkYk5lJUqq1070Kff33Ry5jes4YrXGKGHllLezaCJhW0XP9P0PmpHPeTYwyY8af3nL6jT/DW4/qjkqIqKqvtxoAL1u2THMkZystLQVOxZjopNBJYF6vV3cICe++F3ZiKms055Jp47ggL4ucyTKVKlqKvTn84uOF3L4wj7SUJJJcVgOC1GSDsWnJeMdn6A7REeL+tWD/Ztj4UyKbgl6yDKZfoTuqc/LmZusOwbEGza33Wpgd+qTb7IX6b0FHa2wCS3But1t3CI4U7bxu2rQJgMLCwnMcGXvhUaa6urqYnM/u9y8pdBJY3F/cxLk9bZ082Wc058Oh0ZycXCl0oilvXDpfuGE2D37+ap74x+u4ds4EMtzJKAX/+/cdusNzhLh+Lehqh7/ec2pdzoR5UPQp3VENiTc3R3cIjnXO3F75ecgMbdh80g9PrLIW9YlBpaam6g7Bkc7Mq9/vp7q6mqKiIgoKCigoKKC8vBy//9TuJNXV1QNOAauvrx/R2pw1a9acdu7q6uqzjikvL48cU1paSnPzoDusnMbj8cRsRMfu9y9pdyRGrd9s9EVGcxZMHcfcyWN1h+R4hmHwkStm8PWHtmIqRd0brXzsiplcOCVLd2jCDkpB3begfb+1LiclHW78BrjkrUecgzsTrv0aPL7SKpB9z8GWGrjkLt2RJY4fztMdQfT8U/xsIltbW8vy5cvJz89n7dq1kVGZNWvWsGTJEhobG1mzZg0VFRUDjoo0NTWd9/qcsrIyADZs2IDH46GpqYmioiI2bdpETU0Nfr+fJUuWUFVVFWkqUFFRQVFRETt37hzSxqTFxcUydU2IRNZyrItHt5zqtHZX0TTdIY0acyeP5Yr8HAzDIGgq/vvpd1HySa0zbf0TvP0Y1n45Jiz+6qlP6YU4l7xL4KIPWi2nzSA88wNoP6A7KjGKVVdXU1ZWRnFxMY2NjadNPVuxYgUlJSWUlZVFWkb3V8yER33OZ9paWVkZ+fn51NTURAqWwsJCVqxYQW1tLfX19SxfvpxVq1ZFzl1bW0t1dTV+v3/IxUt4tKnvCFWikkJHjEr3v3Rq35x5uWO5aOo43SGNKh++fAZJhoFSik07j/LyTtmvxHGO7Ah1zArtlzPnZph1ve6oRKIp/CSMC00n7m6Hum/KFDahRXV1NRUVFXg8ngFHalatWkVtbS0wcCHT0NAAwPjx44d1/vDjVlVVnfWzcAOB8PS5pUuXRn5WWVk5rPMAkSJqONPd4pXMHxCjzuHj3Ty8eX9kNGdZsYzmxNpUTzrvuWAi9W8eJKgU//3Udi735uByyf5FjtDbDX/9Rwh0WVPWxk2Dq76gOyqRiJJTYfG98Oi91nNp599h20Ow4IO6I4t/cTTdK9E1NTVRUVEBQE1NzYDH9Z0WNtDUtPAoyVCmkPVVUVFBY2Njvz9ra7M+LGxubj6rEFq2bBnNzc2UlJScVgANJlyENTc3x2XDhOGQER0x6qzbtIdA0MQ0FQUTM7lk2vBebER03FU8HXeSC6UUb7W0U/+mdFVyjGf/Aw69Y01XM5LgPd+E5DTdUYlENfkimP9+IDSF7envW/sxCREj4XUx+fn5g66t6Ts1LDzKcqZwUTIc4T13BiqO+hZAZxYzK1eu5OjRo4MWaGcabhEWz6TQEaNKZ08vf2raC1ijOR+8bCqGIaMIsVAwaSwFk041fMjJcHPbJbkYhoGp4H+f2UEgaGqMUETFzueg6X6sdTlBuHwF5MzSHZVIdEWfhrF51u2uY1D3rzKFTcREbW1tZApXeO3NQPoWE+dqNpCTM/Sujvn5+f1OWQtbv349cHaRc77CsZ1PURZvpNBJYD6fT3cICecvr+7neFcvplJMykpj0ayzX2jaWvZpiGx0uvPSqWSmJqOUYs/RTh7aLLk/H3HzWnDyqNUGGKxP3qcugvl36I1pBHwtif8mH6+GnduUdFj8j4BhFdA7NsBbf7MltkTW3d2tOwTH6bvG5VyFRHhEJ9rTvQoLCwccZWlqaopMh4vHDUjPxe73Lyl0EljcXNwkiN6gyR9e2Q1A0FS8/5I8kvpZE9LWKhfbsZKRmswHLptijeqYil+/sJOuQFB3WAknLl4Lwq2kjx+yLkRTx8J1/wQJPGLqazmqOwTHOq/c5l0KF9yGNYWtF576Dpw4HPXYEllPT4/uEBzF7/fT1NQEWKMqg+194/f7IyM/Q2kdHa3RknXr1kVuR2tEJxzbcEadzpcUOkJEyVNvHeTAsS5MpRiblsyNF0zSHZIAblmQR/aYFBRwqKObh2VUJzFtewjeeZLIlLVr74X0bN1RCacpvhsyQ6/dnW3w1Pf0xiMcLdwhDc5dvAxlfQ5Ev3gId2M73315+uOEttJhUuiIUUEpxf0v7QLANBU3L8gjNSVJc1QCwJ3s4gOhtVJBU/GbjT4Z1Uk0/j2hC85QK+m5t8CMq3RHJZzIPQau6TOF7e1HofkZ3VEJh+rbXrmoqGjQY/uOrAxWdERzj5rm5uZIjOGGCf0Z7uafR44cARh0BCtRSKGTwLxer+4QEkbT7qO83dKBqRTJSS5uWZA74LE5k6fGMDIBUDJ/Mjlj3AAcOt7Ng00yqjMcWl8LzCA8VgE9J6wua5m5cMXn9cUTRd5cGZGyy4hyO7UIZpcAhlVY1/8b9HRGLbZE5na7dYfgWOe66B/q+pzw44SLiZEIj+YA3HXXXf0e4/f7z9lEob/7QGwKHbvfv6TQSWBS6Azd716y1uaYCm6YO5Fx6SkDHpuTK4VOrLmTXXyg8PRRnZM9MqozVFpfCzb9EvY1AqGOeTesshaOO4A31/756aPViHO7aDmkhTZ6PrYXNv5s5EE5QGpqqu4QHKW4uDhye7CL/r4NAc41hSzcVCC89udcmpqaKCgooKCg4KwNPPuOIg3UrKCysnLYhU74PLFoMy2FjhAjtOPQcV7YfjjUiVRxx2VTdIck+lEyfxLjM6xPI4+c6KY21AZcxLHWN+CFn2JNWQvCwg/DpPm6oxKjQbrHKnbCU9ga/896PgoRRX1HZwabarZ8+fLI7cHW5/R93DOLloFUVFREpqj1LY763h6oIGlubqa2tpaVK1cO6VxhDQ0NCb9RaJgUOsLxfh8ZzVEUzcwhb5wzPm12mpQkFx/qM6rz240+Ont6dYclBtLbA49XWFOHzCBMmAuXflR3VGI0mV0KeQut28EeqPum9VwUIorCRcJA61xKS0tPK1qG0hSgpKRkyIVOuAPamZuVVlZWsmHDBgoLC/H7/WcVYn6/n7KysmFtFNr3vtFsbqCTFDrC0Q51dPPEthYUpzYIFfHrxgsmMTHTmnpxtLOH2kYZ1YlbL/0cDr1jrctxJVtT1lzJuqMSo4lhwNVfhiS39Tw88Dq8+nvdUQmHqaqqorCwkMrKytOKk/r6eoqKiqioqIh8b6ijIIsWLQKGNn0tvDdOXV1dZOSmvLycZcuW4fF4WLt2LXD6qFI4trVr1w57ZCZc0A1lZCoRyLuScLT1DXsIBE1MUzFnUibzcsfqDkkMIjnJxYeKpvKLvzdH1up8qHAaGanyUhVXDrwOr6wl0kp60XLIkg8RhAbjpllTJpt+az0Xn/+xNdKTlac7MuEgjY2NVFdXn9bZrKSkhA0bNtDW1jbk9Tl97wvWGptzFSLhEaXS0tJIoVNVVRV5jMLCQhobG6moqKCgoACPx0N+fj51dXXn1Uygrq5uWP+WeCdXD8KxugJBHgrtyWIqxZ0ympMQbpg7kQeb9tHa3sWxkwHWN+zh09fM0h2WCOvthsf/2ZoiZAZh0kVw0Z26oxKj2cV3QfPT4N8N3cetVud3/lx3VMJhVq5c2e9al/Xr10duh0dfzsXj8bB06dIht30e6NxhhYWFkQJlpOrr66O28Wg8kKlrwrGefKOV9pMBTKWYODaVRV7poKTTjoMd7DjYcc7jkpNcLC2aFlmrc/9LuzjeLWt14sYLP4UjO6ypQkluuG4lGPJWIjRKSoGrv4LVbjoI2+tg+wbdUYlRorGxMXJ7ONPEysvLT+vWFg/CDQ+G26Utnsm7UwLz+Xy6Q4hbSinWb9oDhDYIvSiXJJcxpPu2tcgeLnYZam6vmzOB3Kw0ANpPBviTrNUZVMxeC/Y1QcOvOH3KmnOnCPla2nSH4FhRz23uxTD3ZmvdjtlrjeoETkb3HAmgu7tbdwiONFhew6Myw53qVVJSgsfjobKyckSxRdPq1avxeDwxnbZm9/uXFDoJTAqdgb2+9xjvtHaglCIlyUXJ/MlDvm9bqxQ6dhlqbpOTXHywTwe237+8i66AdFMaSExeCwInrSlrKtRKOvcSmP8++8+rka/lqO4QHMuW3BZ/FlKzrNvH9sIra6J/jjjX09OjOwRHGiivfr8/0qDgfBbvV1VVsWZN/DxP16xZE2luECtS6AhxHtY3WKM5QQWL50wgM02WoyWa6+ZMYEKmta9O24keHt4sBahWz/8Eju6ypqwlp4amrA1tlFSImEjLguLPENlb5+U1cNSnOyrhYH3X2JzPKMiKFSvIycmJi2Knurqa/Px8R63PASl0hAMd6ujm6bcOorCmsN12iXOn1jhZcpKLOy49Narzmxd99PSausManfZssrpahaesXfE5yJykOyohzjb3Zpg4z7od7IIN3yW0W7QQUde3AcD5brBZU1NDRUWF1rU6fr+fysrKmI/mxIIUOgnM6/XqDiEuPbx5H72mwjQV83LH4h2fMaz750yW7mx2GW5ul1wwiewxKYBVwP719f12hJXwbH0t6DkBT6w6NWVtSiHMvcW+88URb2627hAcy7bcGi646kvWn6YJvmdh+9A6WzmB2+3WHYIj9c1reLramjVrThuJqa+vH/ImoH0VFhayYsWK0/bBibXly5ezatWq8y7WRsLua1kpdBKYFDpnCwRNHty8L7JB6G0XD380JydXCh27DDe37mQX71s4BcMwMEP76gSCMqpzJltfC579Ifj3WFPWUtLh2n8aNVPWvLnSqdEutuZ2whyYd1uo2AlajQl6Ou07XxxJTU3VHYIjhfPq9/vJzs6moKCAiooKPB5P5KusrIyCgoLz6lhWVVWF3++ntrY22qGf05o1a/D7/YO2r7aTFDpCDMNTbx3kyPFulFJ4xri5YpZcqCS60gsnMzYtGQXs85/kiW0tukMaPXa9CK8+QGTK2pVfgIwJuqMS4tyKPgVp46zb7fvg5f/VGo5wBo/Hg1IKpRRHjx4960spxerVq8/rsevq6li9ejVNTU1RjnpgTU1N1NTURG0PnngkhY5wlJqGcEtpuOmiySQnyVM8XhRMGkvBpLHDvl96ShK3X5IXGdX5vxd8BE2Zc2+7wEl48hvWbTMI0xZZO84LkQhSx8Kiu7EaE5iw6T5oG/60IiFiKVzsxMq6descXeSAFDrCQd5qaef1vcdQCpJc1kiAcIabL8olw52EAnxHTvDUWwd1h+R8G39mtegNT1lbfO+ombImHGJ2CUyab92WxgQiQcSy0KmqqorZuXSRQkc4xvpN1qaSQaW4In882WNkUaZTZKQmc/OCXGtUR8F9z+/ElFEd+7Rug4ZfE5mydvnnYIxMAxUJJtKYIMka5t/1POx4SndUQogYkkJHOMKxzgBPbGuJtJS+XVpKO85tF+eRmuxCKcX2gx08v/2w7pCcKdgLT3zdGskJbww69ybdUQlxfsYXwLxbTzUmeKYSemVTTSFGCyl0hCM88vp+AkETUym8EzKYMylTd0giyrLSU7jposnWvjoK/u+FnSiZhhJ9jb+Gg29ahY4rGRbfI1PWRGIr/AS4Q9sMHN0FTb/RG48QImak0ElgPp9PdwhxQSnFw5v3AWCailtDU5zOV1vLvmiFJqLs9kumkOwyUEqxZV87Tbv1bbAWT6L2WnB0F2z8KZEpa5d9DLKmROexE5CvpU13CI4V09ymjYPCT2I1JgjCiz+H44did/4Y6u7u1h2CI0le7WP3tawUOglMCh1L024/u9s6MZUi3Z3ENbNH1v62rVUKnXiVk+HmhnkTQ6M6it++6NMdUlyIymuBUlD3LWtajxmEbC8sWDryx01gvpajukNwrJjndt6t4Jlp3e45Ds//OLbnj5GeHpmWZwfJq32k0BHiHB7abDUhMBVcO3siaSlJmiMSdrrj0ikYhjWSt3H7Ed5t7dAdkjNsexB2v2RNWQO49muQlKI3JiGiJSkFrvgckXbTW/8EB17XHZUQwmZS6IiE5u/s4em3DkWaENy0QFpKO13euHSunDU+1IFN8dsXd+kOKfGdOAzP/IDIlLWLPmDtLi+Ek0wthBlXWrfNIDz9vYRoNy1rEYWTxPr5LIVOAvN6vbpD0O5vWw5YTQhMRcHETLzjM0b8mDmTp0YhMmGnOy+dggGYSlH3Riv7/Cd1h6TViF8Lnv4+dLVbRU7GpNB6BuHNzdYdgmNpy+3l5aGRShP2bYY3H9ETxxC5XC5M0xzy8W63bKtgB8lr9Jimict1qvyw+1pWCp0ENtoLndOaECjFTRdFZzQnJ1cKnXhXMCmTBVPHYRgQCJo88PLoHtUZ0WvBjqfhrUcB05rSs/ir1gahAm+u7B1kF225zZoCF34AcFmF/bPV0HNCTyxDkJKSMqz1IampqTZGM3pJXqOnp6eHlJRT06Kl0BFiAE27/ew6EmpCkDLyJgQisdx52RQMrOlrf351P0dPyGLRYes+DvXfBpQ1ladgCUwt0h2VEPZa+GFID40odbTAK2v1xjOIzMxMOjpkHaJwjo6ODjIzY7cFiBQ6ImGdGs2BxXMmSBOCOLfjYAc7DkbvDfuSqePwTsjAAE72BFnfsCdqjz1qvPCf1oWeMiF1LFzxed0RCWE/dwYUf4ZIY4JNv4Rje3VH1a+srCza29tlnY5wBKUU7e3tZGVlxeycUuiIhHSsM8BTbx081YTgolzdIYkYMwzDWqsTakqwrmEPnT29usNKHPs3w+bfYU1ZC8IVX7D2GxFiNJhdcqrhRu9J+Hu13ngGkJqaisvloq1N9nQSia+trQ2XyxXTqYBS6IiEdGYTglkTRt6EQCSeK/PHMzkrDYD2kwEe3rxfc0QJIhiAJ79pdZwygzClGApu1B2VELFjuKziPjyq887jsPtl3VGdxTAMpk+fjt/v58iRIzKyIxKSUoojR47g9/uZPn36iDZ1Hy4pdETCUUr12TtH8d4oNSEQiSfJZfD+hXm4DIOgqfj9y7sIBIfeoWjUemUtHH7XGslJcsM1X4EYvvEIERcmXwgF7wGMU+2mzaDuqM6SkpLCjBkzOHbsGDt27ODgwYOcPHmSYDAohY+IS0opgsEgJ0+e5ODBg+zYsYNjx44xY8aM0xoRxEJyTM8mRBRs3nOqCUGaNCEY9W6YN4n1jXs5eqKH1vYuntjWwu2XTNEdVvw6sgNe+h8ie+YUrYCxMvVTjFLFn4VdG63pawffgm0PwcVLdUd1lpSUFGbNmkV3dzft7e0cOHCAQCAwrNbTQsSSy+UiJSWFzMxMpk2bRmpqakxHcsKk0ElgPp9vVLaY7tuE4NrZE0iPchOCtpZ90mLaJnbk1p3s4tYFeTzwym5MU/Hbjbu4dUEeLtfoGaEY8muBaULdt6ypa2YvjJ8LF95he3yJytfSJi2mbRI3uc2YCBffBZvvtwr/538C826xGhbEGcMwSEtLIy0tjUmTJvV7zGi9LrCb5NU+dudWpq4lMJ/PpzuEmGvvCrDhzT5NCBZE/5PottZ9UX9MYbErtzddNJkx7iQU0Hz4OM9vP2zLeeLVkF8LttTA3gbrgs5wwbX3gku6FQ7E13JUdwiOFVe5XfAhGDPeun28FRru0xvPCIzG64JYkLzax+7cSqEjEsqT21qtJgRK4R2fIU0IBAAZqcmUXjg51IEN/m+jT+aun+n4QWtzRJS1+HpBGeTk645KCP1S0qHoU0QaE7zyS+v3RQiR8KTQEQnlkdesrlqmqbhxfv9D9yI+FUway02lS2x7/NsuziPZZaCUYsveY7y6x2/buRLShu9YG4SaQRibB5d9THdEQsSPgiWnCv/ACXj+P/XGI4SICil0Ethomy+6/WAHbx5oRylITnJx/ZyJtpwnZ7Ksz0lEORlurp87EcMwCCrF/S/u0h1SzJzzteDdOutLmYAJi++B5NjtY5CovLnZukNwrLjLrSsJLl9BZFRn65+s5gQJZrRdF8SK5NU+dudWCp0ENtp+8R557QBgtZQunplNZpo9vTSkEUHiev+lUzAMa/3Wc9sPs/3gcd0hxcSgrwVd7bDh34h0WZtzM+QtjFVoCS0uFss7VFzmdsplMP1y67bZC3//gbXXVAIZbdcFsSJ5tY8UOkIAgaDJY1sPoAjtnXOh7J0jzjbVk87l3hxrrU5oX51R77kfwvFDVpGT5gl9ai2E6FfxZ8FIAkzY9QLsfFZ3REKIEZBCRySE57cfxt8ZQClFdoabBVPH6Q5JxKk7Lp2CgVUQP761hYPtXbpD0mdvA7y2DjCt1tJXfRFSx+qOSoj4le21XNFnYgAAIABJREFU2kvjstaz/b0Kgr26oxJCnCcpdERCiDQhUHDjvEkkjaI9UsTwzJ08lgvyxmIAPb0mf9y0R3dIevR2w5PfAJR1wTbjSvBeqzsqIeLfZR+3OrEBHH7XWq8jhEhIUuiIuHeoo5uN249E9s658QLptiYGd8fCKaFW04oHm/bS0RXQHVLsvfwLaNtpLaxOToOrvwwadqUWIuGkZ8Mld2E1JgjCC/9ldSwUQiQcKXRE3Ht86wFMpTBNxfy8LHLHpekOScS5wpnZTM22PpE93t3Lw5tH2Sawh96Bl9cQaUBQfLe1A7wQYmgu+iBkhDYRPXEQNv1SbzxCiPMihY6Ia0op/hKZtqYokb1zxBC4DCMyqhM0FQ+8spueXlN3WLFhBq0pa2av9TVxPsy/XXdUQiSW5DQo+jSRdtMNv4KOFt1RCSGGSQqdBObz+XSHYLst+46x60gnplKkpSRxZf5428/Z1jLKPv13qMVzJpAzxg1Y0x8f3+bci5TTXgtefQAOvGZdnBlJsPheMOSl/nz4Wtp0h+BYCZHbgiUwvsC6HThpTWGLc6PhukAHyat97M6tvPslsNHwi9e3CcHVBeNJS0my/ZxtrVLoOEFKkovbLskNtZqG3724C9NMrD0xhiryWtB+AJ7/MZEpaws/DNkzdYaW0HwtR3WH4FgJkVvDBYuWc2oT0Qeh9Q3dUQ1qNFwX6CB5tY8UOmLUOtkTpO6N1kgTglLZO0cMU8n8yYxxJ6FQ7Dx8nBd2HNYdkn2UsjYG7em0pq+Nm2YVOkKI8zflMph+hXXb7LX2pRJCJAwpdETceuqtg3T2BFFKkTcunTmTMnWHJEZgx8EOnqjbENNzZqQmUzp/srVWR8H9Lzp4A9G3H4MdT1ufPGNaU9aSUnRHJUTiW3S3NQ1UmeB7DnZt1B2REGKIpNBJYF6vV3cItnp0ywHA2ufwxgsmYcSoNW7O5KkxOc9opCO3t16cS7LLQCnF5t1+tuw9FvMY7JaflwNPfY/IlLV574PJF+kOK+F5c7N1h+BYCZVbzwyY816rPbsZhGf/w3pjikNOvy7QRfJqH7tzK4VOAnPyL17LsS4adrWhlPXecsO82LXGzcmVQscuOnI7PjOVxXMmRPbVuf8lX8xjsNuMnX+AziPWJ87pObDos7pDcgRvbo7uEBwr4XJ72cetTmwoaNkK7zymO6J+Ofm6QCfJq32k0BGj0uNbD6CU1VL6oilZ5GS4dYckEtj7L5mCgfV8eubtQ+w+0qk7pOjZ9aK1SBrTGs25+ivgztAdlRDOkjEBLrwTcFm/Z8/9GIKjcCNiIRKMFDoi7iileHSL1QrYVIobL5C9c8TIzBg/hsKZ2RhA0FT8/mWHrNUJdEHdt6zbZhBmLoaZV+mNSQinuuQuSB1r3fbvhtf+qDceIcQ5SaEj4s62/e34jpyI7J1z+awEm+Ig4tL7F+ZFpq/99fX9HDnerTukkXvxZ9YFlwpCyhi46ku6IxLCudyZsPAjWO2mg/Dif0N3h+6ohBCDkEJHxJ3HtoaaECi4YlZOTPbOEc53YV4Ws0Od+7p7TdY37NUc0Qi1vgENv8ZqQGDC5StgjHwoIISt5r8PMkNbHXQegYb79MYjhBiUFDoirgSCJk9sO7V3jkxbE9FiGAbvXzgFl2EQNBU1DXvo7OnVHdb5CfbCk9+wpquZQZh8Mcy9RXdUQjhfUgoUfoLIJqKbfgXHD+mOSggxACl0RFx5Yfth2k8GUEoxPjOVC6dk6Q5JREnBpLEUTBqrNYbLZ+UwOSsNgPauAH9+db/WeM5b02+gdZt1oeVKgmvvsdoTCiHsV3Aj5ORbtwOd8NLP9cYjhBiQFDoJzOfz6Q4h6iJ75yi4fs4EXBou3tpa9sX8nCI2klzGqbU6Jjzw8m4CwfjcD2NA/t3wwn8R2TPn0o/h60zXHZUj+VradIfgWAmdW8MFxZ8hMqrz2jpo26k7KsCZ1wXxQPJqH7tzK4VOAnPaL96xzgAvbD8SmbZ2g6Zpa22tUug42Q3zJjEuPQWFouXYSTa82ao7pKFTCur+FXq7rSlrnplwcRm+lqO6I3Mkyat9Ej63U4shb6F1O9gDz/9EbzwhTrsuiBeSV/tIoSNGjSfeaCEQNDFNRcHETKZ65FNqEX3uZBc3L8jFMAyCCu5/cRdKKd1hDc0bf4ZdG4HQKNS191prBoQQsWUYUPxZsHbognceh/2v6o5KCHEGKXRE3HgsMm1NceMFEzVHI5zs5osmk5rsQinFO63HeXlnAkyj6WyDZyoBZY3mzL8DJl6gOyohRq+J82DW9YBh/U4+90Nr1FUIETek0ElgXq9XdwhR4zt8gm3721EKkl0Gi2frK3RyJk/Vdm4RG2PTUrjxgkmRfXXufzEBNhB9+t/hpN9aE5AxAYo/HfmRNzdbY2DOJXm1j2NyW/QpcCVbv5d7Xoadf9cajpOuC+KJ5NU+dudWCp0E5qRfvEe3nhrNuWxGNplpydpiycmVQmc0eN8leSSFCp1XfG281dKuO6SBNf8d3nyEyJ45V38VUk5N7fTmyv45dpC82scxuc2aAvNusxoUmEF49kfWn5o46bognkhe7SOFjnA801Q8tqXFui3T1kSMTMpK48qCHGuGvRnHozo9J6D+29Zts9eaKjN9kdaQhBB9XPoRSEkDFBx6y1pLJ4SIC1LoCO1e3euntb0LUykyU5MpnOGQKQ0i7t2xcEpk+lr9m63s85/UHdLZXvgvaN9vtZJ2Z8KV/6A7IiFEX+nZsGAp4LJ+T1/4L6szohBCOyl0hHZPbAuP5sBVBeNJTpKnpYiN/ImZXDx1HAYQNBV/eHm37pBOd+A1aLqfyJS1Kz4H6R7dUQkhznTRh079brbvh82/0xuPEAKQQkdoFgiabHjzYGTvnOvnyrQ1EVt3XGqN6gRNxZ9f28exzoDukCzBADz5DavAMYOQuxBml+qOSgjRH/cYWPhRrE1Eg/DS/0LXMd1RCTHqObbQMQxjqWEYqw3DqAp9rTYMIz8Kj7vSMIya0Fdd6KskGjGPRi81H6H9ZAClFBMyU5mXO1Z3SGKUuWTaOGaOHwPAyZ4gNY17NEcU0nDf/2fvvuPjKq/E/3+eaeq9usuS5YJxt6mmGwKBAAEbkk0CSajZZTeNUJIfu5vdTQgkZLNJfgmGhE3f0EMauIEBA8bduOEmj4ts9V6n3PP9445k2Uiyyty5U5736zUvDZo79x49eKR77nPueaB2n5noON1w0dfMtTs0TYtO064xmxMAdDXBhqfsjUfTtPhMdJRSy4FbReQeEXlQRB4EHgRGnJQopbKVUs8Dq0VkWehxJfBYaL/Ph+8nSByv7TxZtrZ4Sh4OfSIXtw7WtHKwptXuMD5CKcUNc8eZ9+oY8OzGo3T57euaBEDDIXj3p5gla0GY9znIGGNvTJqmDc7pNttNo8wLFJt/A63VdkelaQkt7hIdpdRS4BYRWdb3+yLSBNwDPK+UGkmR+9Oh5GbLaftdDTwOLFVKPTDSuEfC6/VG8nBh1+EL8Nb+2t6ytYujpGytoarS7hDiVrSO7fmluRSkJyEIjR0+/vrBCfuCMQxY9QgEfWaSk1sKZ9886Fu8VTGw4GkM0uNqnbgd25KLIL/cfB7ohPd+EtHDx/p5QbTS42odq8c27hIdzBmWfueLQ0kJwMPD2WEoMVqqlFo1wCY93791OPsdrVj/4L25t5Zuv4EhwvicVCblpdkdEgAN1dF5Mh4PonVsXU4H180eE+rABn94/zBBw6YVzne+CEc3Agag4KJvmAsSDsJb1RiR0BKNHlfrxO3YKgcsvIPeWZ0dL0JDRcQOH+vnBdFKj6t1dKIzDEqp+UApsHGQzTYBdw9z1z0rmy0c4PWeS1O6HdIw9HZbM4RLpubbHI2W6C6fUUh6kgsR4WhDJ2v31kQ+iLYaePMxQMwGBDNvgryyyMehadrIjZ1nPgAMH6z7b3vj0bQEFleJDtBz/81gl08qgOzhNCYQkQpgQejRn559rR7gde00je0+3j/UgIQumi+eohMdzV4pbicfm1lkdmAT4bfrDyMS4Vmd1/8LulvNK8HpRTD/9sgeX9O08OiZ1TEM2LfCbBWvaVrExVui07Nc+GCJzsHQ1/nD2bGIbAklPP3pKVlbPpx9jlZJSUkkDxdWq/dUEzQEQ4SpRRkUZibbHVKv3KJxdocQt6J9bK85uxi3UyEi7DrewpYjTZE7+P5V5glRTwOCC78GrqQhvbWkWC+yawU9rtaJ+7HNL4fJl5idEo0gvP0ERODCSSyfF0QzPa7WsXps4y3RyYbexgMD6Xktd5BthixULrcUePD0RgVWi+UP3slFQoWLo6xsLbc4uk/GY1m0j212qodLpxaY5yaG8Lv1hyNz4K5mWP1t87kRgLIrYdy8Ib+9pDgsv8600+hxtU5CjO3828z768SAI++Bd53lh4zl84JopsfVOjrRGZ7h/OYc1f00oXbTS4GngWUi8vho9pdIKps6+eBYM4YITofiwrLoSnS0xPaJOWNRKAwR1h2o40BNm/UHffNxaK81Z3KSs+G8L1l/TE3TrJU1HqZeHZrVMeDtH5hfNU2LmMFb+cSe4SQveSM5QGgG59bQsUqBZ4EhzeQope4m1Ahh7NixrF27tve1kpKSQbNar9d7SmeKWN5+1WE/waCBKAdzx2eRmeL+yPYNVZWndOjKLRo36GyA3j76ty8rNBeDPVjTGhXxDLb93OJktp7oxBDh9+8f5t8+MfOU7cP6eTn8Hux4AbNkzYDz78Pb6MdbdfDk9sU5g14B91Y1nNLFSm+vt9fbR8f2bteFnKNW4BYf1OyGvX+HGdedun0U/73W2+vtY2H7waiI32xrIaXUQaBURAZcdTKUbCwHHg8tJDraY84H1gCPDmdWZ+HChbJp06bRHj7miAiffno9B2vbCQQNvryknIvLo2P9HM1afROdaLevupVvvbwTQ4Rkt5NX/ulCa+4j83fCrz8BTUfNkrWJ58GSb4f/OJqm2WfTM/DBs4BATil88VVzcVFN08JCKbVZRPrtjBxvpWvDUR+OnYTuy7kLeEwp9Vg49hnPDta2UVHbjojgcTlYVJIAddpazJlalMH0MWZi5g8a/HHjUWsO9M6PzSRHDHCnwAVftuY4mqbZZ/YtkJQOCDQdhg+eszsiTUsY8ZboNEHvAp9D2jYcROSF0P4eGE7b6kT02s6eJgSwaFIuKW6nzRFpWv9umDPWbDVtCC9tOUZrlz+8BzjxAWz+Fb1d1s65B1J14q9pcceTDrM/BTjMz/r6/x987XZHpWkJwbJERyk12KKdVulp/zzY2UJPEtQwyDYj0VOHtjTM+40bhiGs3F2NYJawRVu3NU3ra/6kHMbnpADQ1h3g5a2VZ3jHMAT9sPJb5kyOEYTi2eZNy5qmxaezboC00N+8tlrY/Gt749G0BGHljM4CpdRlFu6/Pz2JzmAzOj3LjA+5FbRS6nmlVOMZZmt6ZogWDbJNWPW9GSsWbD/WRFVzFyJCWpKLuRNG1fjOMg1VYTyh1WKWQ6neWR3DgD9uOIovEKaOSRuegtp9ZqLjdMPir5udmUbIWxXu6zYa6HG1UsKNrdMD824DlDmrs/EX0BH+MYi184JYocfVOlaPrZWJThPwvFIqw8JjnO7Z0NfBEpJSoGmQxT/7sxQzeVoyyDY9Z+0Rm8mKtQ/eil3VgFm2dmFZPi5ndFZO9u2+pSW2xeX55KZ6EITa1i5eC63/NCp1B2D9z+ktWZt/O2SOGdUu+3aE0sJHj6t1EnJsp1wB2RPN590t8H741xiPtfOCWKHH1TqxnOiAWULWpJS6XymVafGxehoDNAFXDrLZEuCpYe56NXCPiAz2vp5uDxFdNDRW+IMGq/fosjUttridDq6dXWzeqyPw2/e8GMYoOlUaQbNkLeg3Z3PypsDMm8IWr6ZpUczhggVfwJzVMWDr76BZX1jTNCtZnegsB6YAh4AXlFLPKqXmWnzMu4Bb+mtIEFrgswl4tL83hkrUVvXz3sc4WfLW3/t6ZnxeEJHVI448jr1f0UBLpx9DhLw0D9OKIznRp2kjt2RGEakeJyKCt66Ddw7WjXxn2/4Ax7cBBqDgom+AQzfk0LSEMfF8KJxhPg92w7s/sTceTYtzViY6q4EHReSQiLwoIlcBDwGfUkqtUErdacVBQx3QngOe7vv9UPLyGLBMRD7ScU0ptQSzRG0JcMtp+1wNHAwlQqX9vO9pYLWILAvnz3ImZ1okKZq8tusEAGIIi8vzcYzifgSr5RYNvLCklnjSklxcOaMoNKsj/Oa9wyPbUfMxePsJQMyZndm3Qu7ksMRYUpwTlv1op9Ljap2EHVulYOEd9M7q7HrZvF8vTGLpvCCW6HG1jtVja9uCoUqpm4F7gIPAchHZFub9L8UsYetJarKBxwa7N0cptTn09IoBkqGeZKmnq1vPzM/yUII1ZIm0YGiHL8DVP3qbTl+QgGHww1vmMCkvze6wtAiLpQVDT1ff1s0//WEr/qCBy+ngmdsXMWt81tB3IAIv3gHed8z7cjLGwieX60UDNS1RrXoEjr4PygFTlsAnn7Q7Ik2LWYMtGOqKdDA9RORF4EWl1GTgwdDX50XkF2Ha/wvAsJIPEVlwhtebMJMzbRje2ldHlz+IIcL4nBQm5qbaHZKmDUteehKLy/NZu7cWwxB+u97L40vnDH0Hu/9kJjmIeRX3ovt1kqNpiWzBF+HYRvPCx8HX4dhmGD/oKYimaSNge9urUGnbvSLyMUAppeqVUj9TSk2yOzYtPFbu6lkkVLi4vAAVxWVrmnUO1rTG5GxOj+tnj0Vh/jteu7eWI/UdQ3tjex288V3zuRGAGddD0VmWxalpWgzInQyllwHKLGV9+wfmzK+maWFle6IDoJQqUUo9CnwPyAHuBSpC9/LolkQxrKnDx/qK+t7f34vLdbc1LTZNzEtl/qQcFBA0hN+/P8R7dV7/T+hqMa/cpuWH6vM1TUt4828LzewaULkZKt6wOyJNizu2JjpKqZuUUisw79N5ADPJqcBs5ewMzfLkKaVWKqUejUSLai28Vu+pIWAIhgjlRRkUZSbbHZKmjdj1c8aYC4iK8JcPjlPX1j34G/a+Zj56StYu/Cq4UyISq6ZpUS5jDEy7lpOzOk+YXzVNCxvLEp2B2kgrpTJDSUs98DxmwwAFvAgsEJEpItLbMU1Eng51bHsOs0V1v62htei0ok/Z2iV6NkeLcWeNyWRKYToA3QGD5zYdHXjjjgZY823zuRGAsitg/KIIRKlpWsyY82lwpwIG1O2D3a/YHZGmxRUrZ3Q2K6V6F0tRSl0emr1p5OTszSHgQSBHRG4Rka0D7UxEtoYSnjWh/WhR7kRzJ9uPNmGI4FCKC8p0oqPFNqUUN8wdi0MpDEN4ftMx2roD/W+85j/MZEeCkJID5/9TZIPVNC36peTA2TfTO6vz7o8hcIaZYk3ThszKRKcZ+EVo9mY/sIpTZ2+uDM3efF9Emoe609CaNg/rmR3wer12hzColbuqATAEZo3PIis1NrpMNVTplaqtEg9ju6gkt7cEs7XLz0tbjn10o72vwd5X6S1ZW/w18KRbFpO3qsGyfScyPa7W0WPbx8ybITkbEGiuhO3/N+JdRft5QazS42odq8fW6nt0lmLO3pRhJj59Z2/WjHSnIrIFKD3jhnEu2j94K3ZVIYCIcOnUArvDGbKG6tg/GY9W8TC2Tofik/PGmQuIGsLv1x+hy9+nrv6UkrWgWbI24VxLY/JWNVq6/0Slx9U6emz78KTC3H8AHOYM8PqfQ/fIOlRG+3lBrNLjap1YT3QUsAZz9iZ3uLM3Wuw6UNPKgZo2RASPy8Giktwzv0nTYsQlU/PJT/cAUN/ezZ+3HT/54ikla9m6ZE3TtDObdi1kFJnPOxpg0zP2xqNpccLqROduEblqNLM3fSmlnlNK1SmlLsdMorQotaJP2dqCiTmkeJw2R6TZrawwg49deYXdYYSFy+nghjljzQ5shvDr97z4gwbsW3FqydqFX7W0ZE3TtDjhdMO82wFlXiTZ9L/mGlyapo2KlYlONmantHBaAuRidmv7bpj3HXNKSkrsDqFfhiGs7FO2dsm02ClbA8gtGmd3CFoMuGJGEdkpbgSobuli1eY9sPq0krWJ50UklpLinIgcJ9HocbWOHtt+lF1mLiQK4GuH9T8b9i6i9bwg1ulxtY7VY2tlovOUiLSEeZ9XYN7ns1BEtoV53zEnWj94OyqbOdHchYiQluRi3oRsu0MaltxinehoZ+ZxObhudmhdHQMcb/wX0lEfKlnLimjJWkmxLg21gh5X6+ix7YdywIIv0jurs/2P0DjEhYlDovW8INbpcbVOzCY6InKvBfvcGrrP51C4962Fz8m1c+D80jxcTlvXpdU0y1w1s4j0JBcXymYWdL5HdyAYKlmztsuapmlxavwiKJ5lPg/64J3/sTceTYtxtp+BKqVKQo9Mu2PRRs8fNFi9p7q3bO3iqXrtHC1+pXpc3DQjhX+R3wPQ4QsgpZdHrGRN07Q4oxQsvANzVseAD/8K1bvtjkrTYpZlic5Q1rlRSk0G7g09HldKrVRKPauUKrEqLs1aGw410NThR0TITfMwY4zOX7X49rn235KD2Qq21shk3dgv2hyRpmkxrXAGTDzffC4GvP2EvfFoWgyzckbngTNtICKHROSh0ONeEbkKuAcz6ZlrYWyaRXrL1gy4qDwfh9LN8bT4lXpoJVlHVpHkcgDCj/gsv/igGxGxOzRN02LZgi+AcpqJjvdtOLLe7og0LSZZmeiM6AxXRJpE5Bbg4TDHo1ms0xfkzX21ZtkawkXlsdVtTdOGw9lRS+573wWEZKewRp3P+2oWu2u7WX+00+7wNE2LZTmTYMoS87kEzVkdfQFF04bNykRntJ/I2GrVpfHW/lo6fUEMQxibnUJJXqrdIWmaNUTIfec/cHS3gBhIai4Hyj6Pwmyv/svNDXpWR9O00Zl3Gzg9ZoJzYjvsX2l3RJoWc2xvRtCf0L07pXbHEe28Xq/dIZziZLc14ZKpBagYLVtrqKq0OwQtyqXve4mUY+8AghKDxgX/wrVnF+JyKATYXtXFxsrIzep4qxoidqxEosfVOnpshyC9AGZcbz43grDuvyEYGPQt0XZeEC/0uFrH6rGNqkQn1H3tTmATsNrueKJdNH3wmjv8rD9Y3zuzvrg8drutNVTrREcbmKvlKDkbfggIygjQXvZxfEVzyU9zsqQstXdW56mNkZvV8VY1RuQ4iUaPq3X02A7R7E+ZrerFgIYK2PXSoJtH03lBPNHjap2oTnSUUpuUUvVKqeDpD/Plj35/sAdwEFiOeX/Pg2H4+bQIWb2nmoAhGCKUF6ZTnJlsd0iaFn5GkLy3H0EFOkEMAuljaZ51e+/LN5+VfsqszqYIzupomhaHkjNh1jKz7bQRhHd/DH79e0XThmpUiY6ILBSRPBFxAh8DXsJMUnpqltQwH83A08BkEWkZTWxaZPUtW7t4qm5CoH3UwZpWVqxaY3cYo5K58zck1XwAGAA0LvoaOJN6Xy9Ic3JFacrJWZ1N+l4dTdNG6awbITXPnNVpq4atv7M7Ik2LGWErXROR1SKyDLiq51tAGZAz1IeI5IbaTDeHK654VlJSYncIAFQ1d7HtaBMi4FCKC8ry7A5pVHKLxtkdQtyK5bF1N+wja+vPMUvWgrROX4o/d8pHtrt55slZnW0nIjOrU1KcY/kxEpEeV+vosR0GdwrM/Qwohzmr8/5y6Or/NClazgvijR5X61g9tmG/R0dEVgMLQ88PiUjzUB/hjiXeRcsHb9Xuk7M5Z4/LIjvVY3NEo5NbHLsn49EuZsc26CP/rf8PZQRAgviyS2mbfku/mxamubi8z6zO0xGY1SkpzrV0/4lKj6t19NgOU/nHIHMcIGaSs+GpfjeLlvOCeKPH1Toxl+gAiMgWYKsV+9aiz6s7+3Zbi90mBJo2kOytP8PdeMAsHVEuGs+5HxyuAbdfOjMdZ2hWZ2uEZnU0TYtjTjcsuB1wmOvqbPkNtFbbHZWmRT0ru649auG+tShxoKaNAzVtGCK4nQ7Omayv0mnxJalqC5k7f4vZSjpIy6zbCGaMHfQ9p8/q/GJzo75XR9O00Sm5CPLLzef+LnjvJ/bGo2kxwLJER0RetGrfWvRY2Vu2Bgsn5ZDqGfgqt6bFGuVrJ2/dv4KYSU53wdm0l107pPcuPevkrM6W451sPq5ndTRNGwXlgIV3AMqc1dn5otlyWtO0AUXVOjp9KaXutzsGbXAiwopd1Ujo+SXTdLc1Lb7kbngcV+txEAPDmUzjoq+YJxtDUJR++r06et0QTdNGaew88wEQ9JuLiGqaNqCoTXSAx+wOQBvcjspmTjR1IiKkelzMnZBtd0iaFjapFStI2/8XekrWmufeg5EyvHvQTp/V2Xisw5JYNU1LIAu/iDmrY8C+FXBiu90RaVrUirpERymVqZS6C2iyOxZtcCfXzoHzSnNxO6Pun5MWRcoKMygrzLA7jCFxtlaS+95/0dNKunP8YjonXTrs/Zw+q/Oz9/W6OpqmjVL+VJh8sflcDHj7CdC/VzStXyM6M1VKfUMpFVRKvTbINkZom2E9gEbgyZH+QInE6/Xadmx/0GD17pqTZWtxtEhoQ1Wl3SFodjIC5L/1LRy+dhCDQGo+TfP/ccS7u3VmRu+6Ojtrunj7cPhndbxVDWHfp6bH1Up6bEdp/u1m50cx4Mh68K4D7D0viGd6XK1j9diO9BL8w4ACrlRKlQywTUVom5E+tDOw84O30dtAY4cPESEn1cOMMZm2xRJuDdU60UlkWdt/QVLNB4ABCI3n3I+4U0e8v/w0J1eXp/bO6jy5oR4jzFdfvVX6/h8r6HG1jh7bUcoaD1OvNp9LEN7+ARiGPiG3iB5X60RrovO90NfVIuIdYJsm4CCQIyKO4TxJuX9hAAAgAElEQVSA/lfi06LGip0ny9YWT8nD6dC5qRb7kqq3krX9aXpK1lpnfAp/3rRR7/fms9JJcpmzOvvrfKw+2DbqfWqaluDmfgZcyWAYULMH9v7d7og0LeqMKNERkcdDScnHBtmsAnhBRJpHsP8XgJyRxKZZr8sfZO2+2t6ytYvjqGxNS1yqu4W8t75l1rpLkO68GbRNWxqWfeekOLluWpo5qyPC8g0NBAxdU69p2iik5sFZN4JSYAThnR+hjIDdUWlaVLHy7vHlwHOjeP8L4QokXpWUlNhy3Lf319HpCyIijMlKYXJ+mi1xWCW3aJzdIWiRJkLee9/B1VYFYiCuFBrP/To4nGE7xCdnpJPmcSDAkSY/f9/XGrZ9lxTr60JW0ONqHT22YTL7FkjKAAxoOszM4E67I4pLdp1vJQKrx9bKBUPXiMjWUbxfl6+dgV0fvNd6ytYMuHhqPkrFV9labrFOdBJN2oE/k3poFT2tpJvm/9OwW0mfSbrHwQ3TzVmdoAhPb2zAFwzPrE5JcW5Y9qOdSo+rdfTYhoknHWZ/CnCAESR//7Pga7c7qrijEx3rxGyiMxxKqRKlVPzczR7Hmjv9rK+oN8vWEC4u12VrWmxzNR8md/3j9NyX01FyBV3jL7TkWNdNSyMr2fy1e6I1wJ92t1hyHE3TEshZN0BaPiDQXgebf2V3RJoWNSxLdJRSc/t5lJy2zZ1KqXrMpgWNSql6pdTXrYpJG73XP6zGHzQwDKGsIJ3irGS7Q9K0kQv6yX/rm6hAp9lKOr2Y5jl3W3a4VLeDm89K771X55ktDXT6DcuOp2laAnB6YN5tgMPswLbxl9Ch23drGlg7o/MpYHPo8TxwDzC/50Wl1P2Y9/HkAN8Hrgpt82ml1B8tjEsbhRU7qwHzJO2SqeEt7dG0SMve8lM8dXvMtShQNJzzDcSVZOkxry5PIzfVvPenrj3IczuG3a9F0zTtVFOugOyJ5vPuVnh/ub3xaFqUsPIenYeArcBVIlIuIl8SkZcAlFKTgcdDmy4RkYdC9/S8ICILAYdSaq5VsWkjU93SxZYjjYiAQykumKITHS12pRx9i8ydv6XnvpyWsz9HIKfU8uN6nIpbZp6c1fn11kaau4KWH1fTtDjmcMGCLwDKnNXZ9jto1mvCaZqVpWv3A3eJyJp+Xn4w9HW1iLzez+t3YS5KqkWRlbt61s4RzhqbSU6qx+aING1knG0nyHv7X+m5L6eraC7t5TdE7PhLylIZk+ECoKXb4JnNevFETdNGaeL5UDjDfB7ohnd/Ym88mhYFrCxdKxuk69oSQIDH+nsxtPZOfLXyigMrdp0sW7tUr52jDdPBmlYO1oSvpfKIBf3kv/kQju4WEINgcjZNi75mrkURIS6H4ra5Gb2zOs/vbOZYsz9ix9c0LQ4pBQu+iDmrY8Dul6F2n91RaZqtIt51TSmVBfTUh2waZFO9mt4ZeL3eiB2roraNfdWtiIDL6eDc0vhtDdpQpaf7rRINY5u95ack1ewADEBoPPcbGEmRb/p43vhkpheYs6K+oPDzDfUj3pe3St94bAU9rtbRY2sNrxoP4xeZ/2EEYd0P7Q0oTkTyfCvRWD22drSXXhL62iQiurfqKETyg9d3NmfBxGxSPa6IHTvSGqrtPxmPV3aP7Sn35RhBWs/6DL78s2yJRSnF5+dm9s7qrDzQxq6arhHty1ulS9+soMfVOnpsreGtaoSFXwTlMGd1Dr4OxzbbHVbM04mOdeIx0bk19HX1GbbTyyZHCRFhRZ/7cy7WZWtaDDLvy3mEnuYDXUVzaZt2k60xTS/wcN4Es0W7IcJP3qtHRE9ma5o2CrmlUHqZ+dwIwts/AP17RUtQViY6AxW899yf8+yAb1TqTszW01oU2FnZwvGmTgwRUj0uFkzSOagWY3rvy2k178tJyqZx0dfNq542u21OJi6HQgQ2H+/knSMddoekaVqsm38bON3mrE7lJqh4w+6INM0WVv6Vf14p9Wjfb4Q6sWVjlq291N+blFI3AQtE5EULY4sLJSUlETnOydkcOHdyLm6n/SeHVsotGmd3CHHLrrHN2fSjU+7LaTj3ASQpw5ZYTjc208VVU1LNEjbDnNUJGMO7+lpSrC8+WEGPq3X02Fqjd1wzxsC0a80GBYYBbz9hzu5oIxKp861EZPXYWrmOzhqgTCm1Qil1v1JqBWaXNQGWnb69UuompdRGzMVFD1oVVzyJxAcvEDRYvacawSxhuyQBytZyi3WiYxU7xja1YgUZu/+Pvvfl+PNnRDyOwdwyM50UtwMBKhp8/G3v8LrTlRTHb3MQO+lxtY4eW2ucMq5zPg3uVMAwu6/tfsW2uGKdTnSsE7OJDoCI3AKsAe4FrgQOYS4g2rt2jlJqpVLKAF4AFmCWvD0eSow0m23wNtDQ7kNEyE71cNbYyHen0rSRcjceIO+db9O7Xk7xQtqm3Wx3WB+Rk+LkxhlpKCAowvINDXT6DbvD0jQtlqXkwNk3Aw5zEdF3fgT+Truj0rSIsrwGSUQeF5EpIuIIfV1z2utXhV47/fExq2PTzmzFzpNla4un5OF06OWNtJEpK8ygrDBy5WLK10bBG/ejAl0gBoG0QhrP+WpE18sZjhump5Gb4gSgpj3Ar7fqrlSapo3SzJvNhAeg5QRs/pWt4WhapEXtzRZKqRK7Y0h0nb4ga/fVJlTZmhYnRMhb9++4mo+YN+M6XDSc9zDiTrM7sgEluxx8Zs7JRUR/u62J4y16EVFN00bBk2o2JkCZszoblkN7nd1RaVrERG2ig75Px3Zv7a+l0xdERBiTlcLk/Og9SdS0vjJ3/prUw6/T00q6ad6XCGSX2B3WGV02OYUpeW4AugPCj98b+SKimqZpAJRfBdmTzOfdbfDuj+2NR9MiKCoTHaVUFgO3p9YipG/Z2iVT81FRWvKjaX0lndhI9uafYN6XE6C99Go6J11md1hD4lCKuxZk9c7qrKloY1OlbjetadooOFxwzp2YszoGfPAc1O23OypNi4iILG+vlLocKMVsLT0UVwK6QN1GTR0+1lfU95atXaTL1rQY4Gw7QcHah0DMmRxfzhSa59xpd1jDMi3fwyUlKaz1dmIYwg/fqeM3Syfg0vfHaZo2UuMWwbj5ULkZDD+89X246Sm7o9I0y1ma6ITWxHmaoSc4vW9FJzpn5PV6LWvLt2p3NQFDMEQoL0ynODPZkuNEo4aqSt1iOgapQCcFr38NR1cjSJCgO4OG8x82r2bGmNvmZrL+WBddAWF/nY8/7W5h6dlZA27vrWrQ7XotoMfVOnpsrTHguCoFi+6C41vNe3Uq1sLhd2HSBRGPMRZZeb6V6KweW8tK15RS8zBbRucAWzHbTL84xEeTVXHFE6/Xa9m+XwuVrYkhXJxgszkN1ZV2h6ANlwh5676Np36vWZoBNJ73IEZKns2BjUxeqpOlZ6X3tpt+ckMDzV0DL/bnrdLXhaygx9U6emytMei45pbClKsAZS4euvZRvYjoEFl5vpXorB5bKy91PgysBpaJSPNw3qiUKgV0AalNjjV2sKOyGRFwOBSLp+TbHZKmDSpz569JPbSS3uYDc+/GVzDT7rBG5YYZ6ayu6KSqLUBTV5CnNzVw/+LEuuigaVqYLbgdDq2FQCfUfAi7XoZZS+2OStMsY2UzgnmhNXKGleQAiEgFuhmBbVbsqgbMm6FnjcsiM8Vtc0SaNrDkY+tOaT7QUbKEjrKP2x3WqHmcii/MO9lu+oWdLRyo77Y7LE3TYllqHsxaximLiPp0wxMtflmZ6Bwa5fuXhSWKOGZFTaOI9Om2Jlw6LfGuIOcW6ftzYoWr+TD5b34TxEBJkO7cqTTNu9fusMLm3PHJzC5OAsBvGDyxrg4R+ch2JcU5kQ4tIehxtY4eW2sMaVzPXmomPACt1bDpl9YGFQf0/TnWsXpsrUx0RrUOjoi8GK5A4pUV/zj2VrfirW9HBJJcThaVJN7NoroRQWxQvlYK1nwVh68NxCCYlEPj+d+MyeYDA1FKccf8TFwOhQhsOt7Jq/vaPrKdvqnbGnpcraPH1hpDGld3Csy/nd5FRDf+AtpqLI8tlulExzqxnOjo0rMY9Fqf2ZxFJTkku502R6Rp/TACFKx9CHez12w+oBw0nP9NjOThNniMfpOy3Vw3Lc1sTGAIP3qvbtDGBJqmaWc0ZQnkTjaf+9rhnf+xNx5Ns4iVlz4fU0r9XES+NJI3K6U2isiicAelDSxoCCv73J9zSYJ1W9OsdbCmNWz7ytnwA5Ir3wPMkrXGBV/BnzslbPuPNp86O513jnRS2x6koSPIT9fX861LC+0OS9O0WOVwwqK7YcXD5sWiHS/A/NugYFpYDxMIGrT7grR2+en0BekOGPiCBoGg4AsY+A0DwxAcDoVDKRyK0FdFsttBqsdFittJisd8pLqdOPSaYtowWJboiMghpdQapdSjIvLwcN6rlMoC5lsUmjaALUcaqWvrxhAhM9nNnAnxd3Vci30Zu/9Ixp7nMJsPBGmddjOdky61OyxLpbgd3L0gi+++1YAhwp/2tHDttAzmjkmxOzRN02LVuPkwfhEc2wBGANZ+D5Y+Y665MwjDEOrbfRxv6qS6pYu6Nh/1bd3Ut/vMR1s3LV1+2roCdPjCO/vsUIqsFDfZqW5yUj3kpHnITXNTkJ5EcVYKY7KSGZOVTF56Ek6dEGlYvGCoiLyglDqolHoW2AhsASqAhjO89W70WjoR9+qOnrI1OL8sT/+S0KJO8tG3ydnwfXo6rHWOO4/WmZ+1O6yIOGd8MueOT2b9sS4MEb73Vi2/XToBt1N/TjVNG6FFd0LlZjPRObwOKt6AsssxDKGmtRtvfTveuna89R0cb+rkeFMnJ5q78AeNfncnpz2Rk98xn8kA25/m9N9qPbmXIUJDezcN7T5Q7f1uC+ByKIqykinJSzMf+amhr2lk6U6yCcWyREcpZXDqv+HhNmrXiU4EdQeCrN1bg2B2XkvEbmtadHM37Cf/zYd7O6z5sstoXPTVM159jCd3Lchie1U3nQHhYL2PP2xv4vb5unuVpmkjlFNCV9nVOPb+jUAgQN1L/8q/5iRR0eCjy//R2ZieZEV6Uhih97yhP0opUtxOUkOlZx6nA5dT4XaEvjodKAUiZhLT89UQodtv0BUI0uU36PKbZW8nY/ro8VTob0FPS/5jDZ0ca+zknQN1p2xXkJHEtOIMZhRnMn1MBtOLMynISBrpCGpRzsoZnQqg1ML9a2G0bn8dbd0BRITCzGTKC9PtDknTejk66ylY82Uc/g6zw1pyDg0XPgLOxPrjlJ/m5NOzM/jfLS0ERXh6cwNLpqQzLlNfodQ07cw6/Qa7a7rZUd3Fzuou9tX56Gy9mKeN1aTRSYr/GNM6/8Qux8fMZGaARCYtyUVhRhIF6UnkpnvMMrJUD9mpZllZZrK7N7lxhPFiVCBo0NIVoKXLT0unn5bOAE2dfurbuqlp7aa2tZvatm5aOv2cngwppVAKalq6qGntZt3+kwlQXnoSs8dlMXdiNnMnZFNemI7LaWW/Li1SrEx0mjBbTF8lIsNaU0cpdTfwqCVRxRGv1xu2tnwnu63BxeX5vVdGElFDVaVuMW2RkYytCnRSuOYruNqqzFaoTg/1FzwSlx3WhuLaqWmsPdRJRaOfLr/w/bdr+fL8JCaPybM7tLjjrWrQbZAtosfWGn3HVUQ41hJgZ3UXO6q72FHVxYEGH0HjtHIyMviduo575HlA+LTxF1bKuQRTchmblcK4nBQm5KYwJivFTG4ykkj12NPG3+V0kJvmITfNM+h23f4gVS1dHGs0y+2ONnb2PjfL7syfXCmFAupau3h9bzdv7DXbbKd6nJw9Lov5E3M4tzSXlO4GSidPtvinS0zhPJftj9UzOgeHm+SEPAv8PMzxxJ1w/eNo6fLz7sH63qs2id5traFaJzpWGfbYGgHy1z6Ep3YXYP5xajjnfgLZifsHx+VQfGlRFg+uqsMQ4Z0jHUxwt/N1neiEnbeqUZ+MW0SPbfiJCBsqGthU52RTZSdbT3TS2Hmy/Ex6tzO37flvlwM+yLqC1s51FAVOkOH08Wz5+7Rd8m8R/xnCJcntZFJeGpPy0k75ftAQKps6qaht51BdGwdq2vHWt4dK4k4mP23dAd4/1MCGQw08+eZBXOLj0pltnF+ax7mluRRmJH/kmEcbOvjfdw7xyrbjtHUHSE9yccPcsXzhwslMyE2NxI8dk2I50VkF1I/kjSLSrJRaE+Z4tAG8vqcGf9BARCjNT2dstu7kpEUBEXLXf4+Uo2/T02Gtec4ddI9ZaHdktpua7+Ga8jT+vq8dwxBePGhwe3uA/LT4WSxV07Qzq2kPsPFYJxsrO9hU2cmxxiAedy3QU3JGbwkamPevjM90MS3fw1mFHspy3YzPdOFyKJKq7iL53f8yf/dWvEL32Z/CnxfedtN2czoUE3NTmZib2nsvctAQjjV2sOdEKx9WtbD7RCv1bd30TXy6A7BqdzWrd5tLcEwrzuCSqQVcOq2AsoJ01h2o474/bO1t0uByKDr9Qf648Sgvbqnkp/8wj4vKE/sisl2sbC/99Cjff1W4YtEG11u2ZggXT823ORotXpUVZgBDX08n84NfkL73JXo6rLWWX0/7lE9YGGFs+eycDDZVdlHdHqTdD997q5bvX12c0GWnmhbvugMGW453se5wOxuOdXK4ydf7moQeQePkbE2qWzE1L4npBR5m5Hsoz3OT5un/3pPu4gV0Fc0nuWozSIDcDT+g+uqn4r7hi9Ohemd/rj67GBGhrs3HruMt7DjWxLZjzTS0+AgEDRRm4vPhiVb2VrXy1FsV5Gd4OFjTDgJu18mx7Rk1X8Dgvj9s5a//vFjP7Ngg4pf/lFIlQLaIbDvt+5ki0hLpeGJZOKb6qlu62HKk0bzaoxSLy3Wik1uky9bslrb/FbK3/JzeNtLjF9M66/N2hxVVUt0O7js3m399vR6lFG9621mxv42rp2bYHVrcKCnWHe2sosd26GrbA7x7pKM3uen0n2ztLAJGnxmbVLdiVnESc8ckM7vIw4Qs17CaAbTM/gJJNdtRRoCkqo2kHl5NR8mV4f6RoppSioKMJC6dZs7YGCLs2OfF2+lh69Em9pxoJRCauVFKUVHbTnfATIL8hoEr1FGuZ9ydDoUvYPCrd708ct1ZNv5k0cnKsjWIUKKjlLoceIyTi4BKP8f+plJqHnC3iByORFyxLhz/OE42IRDOHptJTurgN/glAn1/jr2Sj71D3rv/SU+5Wnf+TBoXfQWU7oBzutnFSVxdnsZr+80Stu+vq2PBuBQKdAlbWOh7SKyjx3ZgIsKe2m7eOdzB24fb+bC2++RrnHqPjcsBM/M9zClOYk5xEmW5blyjWAMvkDGe9tJrSD/wF5RhkL3xR3RMuDjhOlz25VCKOdMmMwe4Ye44OnwBth5pYsOhBrYcaaSx3Ux6etpt+4MG/iA4FDidDlwOs9vbn7ZV6kSnHzGf6CilNmImOIN+8kTkIaVUNvCcUuounexYT0T4244TgJnoXKbXztFs5qnbRcEbD4ARREkQf+Z4Gi74Fjj0iftAbpubwZYTXVS3BWnuCvLom7U8cY0uYdO0WGKIsLO6mzUH23ijop2qNn/va8LJNWYAitKcLBqXzKJxycwo8JDkCu9nvXXGraQefRNHdwuu1koyd/6Oljl3hPUYsSzV4+LCKflcOCUff9Dg2h+vQ0QwQq24je4Oc8OkVIyAgR8z6TETIAO3blsdUZaePSilngUWAKsxZ3Q2hRoNPNnf9iLSBFwVet+tVsamwZ4TrXjr2hGBJJeTc0t11ybNPq6mCgpX3ocKdPaulVO/+NuIW9c0D6a3hG1NPYYIbx9u59V9bXx8mi5h07RoFjSE7VVdvF7RxusV7dS1B3pf611AE3AqOCvfwznjkzlnXDJjM6298COedFrO+jTZ255CSZCsD35Je/n1BFP1xdDTuZ0O0pNcdAWCOJQiaAidoQm4nvukFBAU8z7oa3/8Nh+fNYbr54yltECvVxgJln1alFI3A1cC80+/H4f+lrQ91feUUveLyA+siU4D+Huf2ZwLSvNIdjttjkhLVM7WSopWfAlHdzNIEHElU7/42xgpurxlKGYXJXHN1DReDXVh+8G6WhaN1yVsmhZtDBG2Hu9i9cE23jjUTkOHmdycXpKW6lYsGpvCOeOTmTcmacAGAlbpKLmStIoVuJu9KH872Zt/Qv1F/xHRGGLFFTMKe6tjnH3KBj0uB0FDetctSnI6aGj38fv3j/CH94+wsCSHZQsncHF5wSnv08LLyr+CdwNX9JPknJGIbFVKfQ/QiY5F/EGDlbureqfEL59WaHdIWoJydNRRtPJLODtqzQVBHS7qL/w3ApkT7A4tptw2J4Mtx7upagvQ0m3wnbU1/PfHx+gSNk2zmYiwv97Hiv1trDjQSk1b/8lNhsfBOeNSuKgkmVlFSaO612bUHC6aZ3+R/HX/hhKDtAN/oXX6MnwFs+yLKUrdNH8cK3dV4wsapyQsLofC5VAEgwYoRXFWMs2dfkBwKMXGQ41s8jYyJiuZpQvGc/3ccWSluO37QeKUlYlOnohstXD/2iisr6inqcOPiJCb5mHmuEy7Q9ISkOpuoWjlP+JqOQZiAIr6878Zd2s3REKK28F952bxSKiE7Z0jHTy7o5lPzc62OzRNS0jHW/ysONDGa/taOdR4sg200Se5yUpycN74FBZPSuGsQo+9yc1pfIWz6RxzLinH16MkSM77P6D62l/Ffbvp4RqTlcIj183gP/+6J7SOjgIEw1zECI/LySPXzWDexBw+ONbEmj01vH+ogYBhoJSisqmTn7x+gOVvVXDtrDF89rxJug11GFmZ6FSM8v26ZsVCJ8vW4OLygmG1n9S0cFD+TgpX/zPuxgOhJMeg8ZwH8BXNtTu0mDWrKIkbpqfzyodtBA3hx+/VM29MCtMKErdjkqZFUmt3kJUH2nh1XxsfVHX2fr/vPTfpHgcXTkzhkpIUpud7orpsqWXW7SRXbUYZfpJqt5N28K96PbN+LCzJ5cnPzeflrZU8+9ZOlCeVZLeTJTMK+eS8cYzJMhdinzcxh3kTc6ht7Wbl7ipW766hpctPECEowktbK/nTtkoum1bI586fxMyxWTb/ZLHPykRnxP93lFJZnKFLmwZer3dEbflauvy8ta8uNG0uXDZd32DYV0NVpW4xbbVgNwVvfJ2kmh2AgZIgjQvuo2v8+XZHFpPqGlvJzzGbD3x2TgY7aro52OCnO2jwrdXV/Obm8aRGuMY/HnirGnQbZIvE09gaImyu7OTPH7byRkU7vuDJdsM93dI8TsX545K5bHIqc8dYV5bW93dBOATTx9BWfj0Ze19CGUGyN/0PHRMvRTyJ1exkKOcFY7JS+MdLp/DELfMAWDvI4tgFGUl85txJLFswgXcO1PH3nSc4VNtOIFTWtubDGl7/sIYFk3L43HmTOL8sL27LkEd6LjtUViY6h5RSnxSRl0fw3u8Bq8IdULwZ6T+O1bur8QcNRITJ+WmMz9FTpH01VOtEJ5xcLUfI/OAZqr6eTmaSwvPL2QSSc3B2NYFDoYwgzbO/QGfJErtDjVl9T27cTsX9F+Twtddq6QwIhxt9PPFOHY9cpu/DGy5vVWPcnIxHm3gY2+Mtfv62t5W/7m3lRKvZDrrnvhtDBIeCuUVJXDo5lXPHJ5Hitv5iQ7gTHYC26UtJPbIWZ2c9zo5asrc+SeO53wjrMaKdVecFHpeDy6YXcum0AnYdb+HP24+z5UgTgaBZ1rbJ28jmw43MGJPJnRdNZvGU/LhLeGI50XkKWKWUqhCR7ae9NuD/JaXUXZiNDPSyyRbpLVsz4DLdhECzUMrRtyhccS8E/TjdCr8Byd1NeLoaADDc6bTO/Afay2+wOdL4MjbTxd0Ls/jx+iaCIvz5wxbOnZDCVVMS6yqspoVbV8Bg7aF2/rKnlY2VHb3f73vfTUm2iytK07i4JJns5NjvZiquFJpnf4HcDU+gxCBjz7O0ld+IP7fc7tDihlKKs8dlcfa4LA7Xt/PKtuOsO1DXex/P7uMtfP257Uwfk8ldcZrwWMWyREdEtiilXgC2KKUeA54SEW/Py6dvr5Sai7nWzhLgIRFpsSq2RHa0oYMPjjUjAg4HLC7PtzskLU65Wo5QuOJeVMAHDidp6RkQWiPHJCijm46Jl9kaZ7y6bHIK26q6edPbiWEIj75Zy8zCZMZl6q4+mjYcIsLu2m7+8mErKw+00dYdNL/PydK0NLfikpI0rpqSyuSc+PuMdY27kO6CVSTVbAfDR+76R6m+5pe6MUE/Dg5SsjYUk/LS+Jcryvn0ORP5ywfHWbW7Gl/ATHj2HG/m689tZ1pxBndfXKoTniGwdJEFEblHKZULPAQ8qJRqAjYBpUqpn2M2HMgGFoa+KsyE6PtWxhUvRjLV9+rOk2vnzJ2QrVsZ9iO3SJethUPmB89A0A8O84qmCnadkuTgcAMO0ve9RPOC+2yLMx70V6qilOLehVnsq/Nzoi1Aa7fBI6urWX7DONxO/YdxKEqKdWGBVWJhbDt8BisOtPLSrhb21pmrQPYtTVPA3OIklpSlcu745Kj4XIW7bK2XUjTPuZOCNV9FGQGSqreQVvF32suuteZ4UcaO84KCjCS+eOFkbpw7jj9vO86K3VWhhAc+PGHO8Mwen819l09h7oTY7a5pZdkagBI509qdYTiIUkuA5cDk0Lf6HrTnN0MTsExE1lgeUBRYuHChbNq0KaLHNAzhkz9/lxNNnfiDBvdfNZXzy/SMjmaNSc/MRvk7QTlQwW4welb9NpMccbhBDMSVwvGlr9gaazzbV+fj4dX1BAzBqRSfnp3N1xbrz72mDWR/XTcv7m5hxf5W2n2hxgJ9uqYVpTlZUpbK5aWp5KfGfmnacGTu+DXp+8xbrwNpxRy/6WXEk0M7N2AAACAASURBVG5zVImhscPHK9uOs3JXNd2BIEopnEqhFCyeks8/XlbGlMLELE9WSm0WkYX9vRaRZbNFZDVQFrr/5kpgPuZsTgNmG+rnReTpcB5TKbU0dKym0LeygcdEZFRtr0NleEtC+wPYAjwqIltGs99I2H6siRNNnYhAqsfFwpLYvhFUi27K1wbK1U+S4zKTHHMrVKDdrhATwtR8D5+dncGvt7UQFOH/djQxozCJa6Ym5h9ETetPV8Bg9YE2Xt7dwo7qLuDU2Ru3Q3HRpBSumpLKWQWehC0Xap2+jJSjb51sTLBtOY3nfN3usBJCTqqHz19Qwg1zx/Ly1kpW7jIbSymleHt/He8crONjM4v50qVlve2stQglOj1CyUxYE5r+KKWWA7kisqzP97KBzUqpe0KJ13D3WYp5D9GjIvJgn30+Hdrv4z3fj1Y9TQiCIpxflovbqdvNatYRdzqO7qbTytVciMPTdyvElWZHeAnlhhlp7K338d7RLgxD+M7aGkpzPHp9HS3hHWr08fKuFv66r/XUe28Mc/ZmbIaTa8rTubw0hXTdoh1xp9I86/PkbvwhSoJk7P4/2qZcrxsTRFBOqocvXjiZ62aN4blNx3hzXy0Bw8Ahild3VrFmTw3/cO5EPn9BCWlJET3Nj0px96kNzeTc0jfJARCRJuAe4PlQgjJcjwF39Z25EZGm0HFeAB5QSt09itAt1eUPsubDmt61c66YXmR3SFocU4EuAsk5Z0hyTO2Tr4xscAnIoRT/cl42E7JcCNAVEB5YUUVTZ9Du0DQt4gKGsOZgG/e+UsmtfzzCH3c00dodxBDzNUS4cEIy312Sx8+uK+T66Wk6yemja/xiugtmmf9h+Mh9/zFz6kuLqMLMZO67fAo/WDabRSW5CBAIGnT5g/zqXS83//xdXtlWSdBI7P83ln9ylVKZSqkSpVSm1ccKeQyztfVH9JnJeXg4OwzdY7QqlCz1567Q1+XD2W8kvb2/jrauACJCYUYyU4t0Ta1mDeXvpGD1l811coCT9+ScluRIEHG6aZt2U8RjTESpbgcPX5RLmtuBIUJli59vrao2T+w0LQE0dQb51ZZGbvz9YR5eWcWW450IEDSEoCEUpDq4bU4mz3yyiG9clMvMwqSELVEbVKgxgThcKDFIqtpE6qHX7I4qYU3KS+Oha6bznzfMZEphOiJCIGhQ19bNd/62h9ueeZ9N3ga7w7RN2BMdpdTlSqlHlVL7lVJBoBE4CDQqpYJKqXql1LNKqTssOPZ8oBTYOMhmmzDX6RmOZYO9GEqAtvSJIeq82rN2jsAl03Q7Qs0aytdG4cp/JPnERnAoDHc64vQgymnO7oiEvhqI00P94n8nmD7W7rATxrhMF1+9IBuFed/BhsoOfvZ+vd1haZql9tZ28x9v1HDtb7387P16atoCvbM3IsKiccl8+7I8nry+kJtnpsfF2jdWC2RODHVcMxd9ztn43+Z9mZptZozJ5NGbZvHPV5STl55E0DATnr1Vrfzj77fwzZd3UNPSZXeYERe2REcpdadSaj+wCngAM+FQ/TyygaXAU6HE57thnO3pWVp9sIYDFUB26J6boSoFliulHjjDfsFslR1V6tu6ea+ivrds7VK9SKhmAUdXI0Ur7jXXWcBAGUFaZt1G1XW/oa38emqbO+jq6kBcKbSVX0/1NU/TPWaR3WEnnEXjkvnUrAwU5pXs321rYsX+0a37oGnRxh8UVh1o464/VfK5F47y1w9b8AWlN8FJ9yiWzUznFzcU8a1Lcpk7JgmHvgA4LK0zbiWYkgeAs72GrG39FtMknLLCDMps6n7mUIpLphbw40/N5dZFE0hyO82ExxBW7a5m2fL3+M17XvxB44z7ihejTnRCZWkbMcu2yjg1qWnCTAC2hB4VfDTxeRCoUEqFY9XAnrOmwRKdg6Gvw5l5WcXJn2UgPff9jKqr23B4vd4hbbdydzVBQzBEmFacQXFmsrWBxbiGqkq7Q4g5zrbjFP/9C3jqdoOYSU7zrM/TNuNWguljaV5wH8VPtJH23VaOL32F5gX36ZmcMKprHF6icsvZ6SwaZ/4eCBrCf75Rw/YTnVaEFtO8VYlb7mE1q8a2sTPIM5vN8rRvrapi+wmz02hPeVpJtouvnJfNMzcW8dk5meTFWXvo4f4uGA1xp9Iy63ZQCiVBMnf/AXfjgYgdP5Ji7bwg2e3kloUT+Mmn53FxeQFg3r/T1hXgp68f4B+eXs/7FdExmz/Uc9mRGlWio5S6AjNxWICZtKzGTFzKRMQhIrkiMkVEFoYeU0TEAeRgloM9BTRjtpperZQabY/CbOgtJRtIz2tD7q0sIo+LSI6IvDDIZj0zORFbHGeo/zh6uq0ZhnDZtAILI4oPDdWx9QvNbu6G/RT/7fO4mo+YSY4EaZp7D+1Tb7Q7tIQx3JMbh1J85fxsxmWazQk6AwZff7WKw00+awKMUd6qRrtDiFvhHts9tV18+/Uarvutlyc31FPbfrI8DYQLJ6bw+FX5/PDqfC4rTY2KxT2tEMlEB6Bz/EV05880/8Pwkbv+e3HZmCBWzwty0zx8eUk5377+LCblpSIi+IMGh+ra+ef/28o3X95BXVu3rTFGbaITSnJWYiY4T2EmN1eJyPdF5NBg7xWRZhF5UUTuFZFc4KHQfh4f5b07w1kYJmzLyIaaFWQDL5whyYq4AzWt7K1qRQRcTgcX6AVCtTBKqtpC0at34OyoAzE7eDWccz8dZdfYHJl2JmkeB49ckkt2sgMRaOoK8uW/naC+I3DmN2taFPAHhZUHWrnz5WPc/sIx/rbXLE8Lilmqk+FR3DIzg1/cWMQ3FucwLT9x17+xjFI0z7kr1JhASKraRNqBP9sdlXaamWOzePzm2XzhwsmkJblOKWe7Zfl7vLKtEonDBBVGuI6OUiqLk+Vcy0RkzWiCEJHHlVIvhPb5lFJqtYgcHsGuhpO85I1g/wN58LSv/Qq1n74bYOzYsaxdu7b3tZKSEkpKSgZ8r9frPSXrHWzbvtu/csCHzxdAORycV1YwYE/1hqrKU65Y5BaNI7d43ID719vr7VOOrCV/7UOooA8j6MevPOwq+xLN/lLyG1vJzxm4RrmusfWUK4/5ORl6+1FsHwgE+bDi+Ij2/5ky4and4Bc41uznq38/wZPXjyO1Tztdb1XDKVfgS4pzKCke+LpSvGzf1tnN2m0HoyaeeNp+MGfaf0NHgJf3tPDirhbq2gO9N133KM128smzs1g8MaXfmZto+/zG+vZVRi7teZcyoWolBA0y3/s+nRMuxkju//9zNPz9SsTtXU4H184ew1mZPn6/4Sibq4MEgcZAgO/8bQ+v7qjimx+fwcS81FPe19/553DPVwfb3ufzWXo+rEaSwSmlVgJXYM7ieM+w+XD2mw0cAvaLyDkjeP9BoFREBrxkE0o2lgNhWeCzz/6uHM5CpAsXLpRNm0ZX5eb1egf9H+wPGnziJ+toaPfhDxo8fM10FpYMZ9IrMTVUVQ76S0WD9L0vkvved0Md1IIYngwaLvw3/DllA75n4tS5ABzZty1SYSaMujMklmeysbKL777ViCGC06FYPCmN719djMuR2Fe/vVUNg57AayM3krHdXdPFczubWbW/DX+oLbohZgdBp4ILJqTwielpTMv/6HpdiWK0vwtGSgW6KFj9L7jaaxDloH3qjdQv/nbE47DKcM4LehoRHKyJ7iYv24818dRbFVQ1d6EAp0PhcTm5Y/FkPnf+pIgtKn+mc9mhUEptFpF+m4EN+6dQSk3G7G52TziTHOi9t+YuYIFSam44992PUd+FFercthxzVmvISU64nOkfxvqKehrafRgiZKd6mDdx8KtomkknOYMQg+yN/03uu9/pvR8nmFJA3aWPDZrkaNYa7YnNonHJ3LMws7cT27rD7Tz+Vm3cljIMlU5yrDPUsfUHhRX7W7njpWN8/sVj/H1vKz7jZHlaZpLi1rMz+OWNRdwfKk9LZHYkOQDiSqZ5zt2hxgQGafv/TFJVxG5Ztlw8nhfMGZ/ND5fN4cZ543A4FAFD6PIH+fmbB7ntlxvYcaw5InGMNsk5k5GUrt0DHBSRX4Q7GAAReUEpdQi4FRjupd8mMGeGhnCvTDjupXkeePAMTQps85ftZimLIXBxeT7OBL86q42O8neS/9a3SDmyFhCUEcSXNYmGxf+OkRy2W940m1xdnkZdR5AXdrURNISX97SQk+LkS+eGs8pX04amviPAy7vN8rSe+8YkNHsjQHmum09MS+fCSckJP/MYLbrHLKRz7PmkVL6LkiC5736XEzf8EZyJnXxGsyS3k8+dN4nFU/J58s2DHKxpIxAU9te0cudvNrJswQT+6bIppHhitzvhSBKdJZizGFZ6HHNm5+Fhvq8Cs210LgMnMj1nZKPqbamUWgU8KyKPj2Y/Vmls97Fuf13v2jlLZhTZHZIWw5wdtRSs+Qqeuj2YSU6AruL5NJ77AOLS7crjxWdmZ1DbEWTtoU6ChvC/WxpJcTv4/Hw9G6xFxs7qLp7f2czqA/2Xp100KYVPTEtjaoLP3ESr5jl3kFSzDYe/HXdTBZk7f03LnLvsDks7g8n/j707j2+jOvcG/jtabcuLJG+x4ziJkzghAbIZAiEpW1jCVtpCW2h7S28vAW4v9N5bCqUFShegLG2h5b40UKAbUCClpawlgQAhEIgTyL6Q1bHjOJYty7ZsWdLovH9IdhxiGy86Hs3o9/18jBNpfPT4YaLRM3PmOQUu3PWFE/Dq5no8/eEBhCIapASeqT6A93b7cMclM3BimTFPaA6n0KlAvI20SmsB3D2Mn+tew2ag/xvd82vWD2N8AIAQYimA5ala5ADAq5sPIZpYO2dyUTbGejL1DokMyt78CYpW3ABrsAHdC4G2T7oIrSd+C7AY9ywPHUsIgevnudHeJVF9MAQtJvH/PmhChk3gqyca8yBHqS+iSbyxux3Pbg5gc0N85fbuk3QxCbgzLFg8JRvnTc6CJ5PvOakslpmPthlfQ96G30NIDXkfP4qOiecjmjtO79DoM1gtAhedWIqTJ3jx6Kq9+OiAH1FNoqa5A1f/qRpfnzceS06vgNNmrH+Dw7nTKA/qF8Xcg+G1f34m8b1igG0qALRIKYf1OwghbkJ86t4xRY4Qwp1oNa0rKSVe2piYthaTWHRckc4RkVFl7l+JMa9cFS9ypAbIGFpmXo3WWf/BIsekbBaBmxZ4MHOMExLxe3Z+tdqHZzeNznxtSh+NwSgeXduMS/6yH7e/0YDNDaGefU6LSUzy2PG9+R48dmkxvnpCDoscgwhOPB9h92QAgNC6Eo1r0vt+PyMpys3ADy+Yhu+cMflIK2pN4k9r9uPfHvsQ2+pb9Q5xSIbVUkFKqfS3lFIO64gqpVyP+JS1cwbYbBHi6/4MmRDissTr9Hclp8+OD6Nt+6E27DrcDikBh82C0yZz7RwaIhlD3ke/Q+Gb34OIdMSLHKsDzfNvRcfkC/WOjhRz2gRuWejBcYWOng+e97/biKc2pNQyYWRAUkpsOhTCbSsacOlf9uPR6mY0dfRa3FNKfG58Jn55XgHuP78Qn5uQyXtwjMZiRWD2tZDCCiE1ZBx8H67dL+sdFQ2BEAJnTivCLy+fiZllbkjEW7jvbmzHv/9hLR55ZzcivVq6p7Iht5cWQmhSSuWnVYb7Ooli5FEAEz/dkGCg5xLPP4f4laTL+/jZOQAWDTRdTQhxD4C7B7NoaDLaS/fn3te2Y9m6WmgxidMm5+O/F1UqeR0yJxFuQ8E7tyLzwCoAEkJqiGYWoPnUHyLqnqh3eDSKOsIx/OStZmz3hXvaj15/Sj6+MZv37NDQdEVjeH1XO57bHMD2xvhK7PHpafH7b+LT01w4f0oW3Bm8cmMGuRsfR/Yn8cVDtUwvDn7h74hlspOh0Ugp8frWBvzp/f0IRTRYhIDFIjBtTA5+fPF0TC7Sp9NfbwO1lzZdoZP42aUAvFLKy3s95gawDvG22MfcY5SYcrY88ddrpJSP9HquIvGzA1UmXsTX8BnUJwBV6+h0RTUsfnAV2kJRRLUYfnLJDBw/Nm9Er5Nu0nkdHVvLXhS++b+wB/aju+lAV+HxaJ53M6Rz5G9meq3xYHYq89oRieFnbzVja+ORYueqOR5cd7LX9KvMcx2dkatvi+D5La34x7ZWBEIagHiBE9ViEEKgMt+OS6Zl49Rx7J6WDKn0HiuinShc8d0ja+tMugBNpw/n9mv9pfPngm6HAiH831u7sO1gKyTixwKnzYr/PHMSrjipHJZh/vtVvY7OcJoRpDwp5TVCiMsSBU/31RU34ot69nlvjpRyhRCiu0HBs596emni5z/r/pthNzgYjr52jnd2+tAeikJKiYJsJ6aX5o5mSKbQ3JCeb2iZNW8h/51bYYl09KyR0z75YrSe8E3Akpy3ilQ6CJuJyrxm2S24/Qwv7nzHj00NXdBiEn9Y70cgFMNNC83dtn7fIT8LnWGQUqK6rhPPbg5g1b4OxOTR3dNsFmBOgcTXTyrEZC+7pyVTKr3HSlsmArOvQ/7qn0JIDa49r6GjYjE6x31O79CGLF0/F/Q2Ji8Dd1w8A69sqsdTH9YgHI0hFNHw4IpPsGZPM26/aDoKc5xDHjcZhc5ATFnoAPH1eAAMaX0bKeXcfh4f6J6flNJ77ZwzpxbCYvIzrpQEWgTudb9F7pa/AJCAjAHCCn/V9egsP0Pv6CgFZNotuO10L+5b7cfauhCiMYnntwYQCGm44+wiZNhGZwVtSm3BcAwv72jDsi0B7POHARw9Pa0gy4rFU7Jw7mQXDtYdYpGTBrqKZ6Oj/Axk7V8JEdPgff8uHCyeC+lw6R0aDYPVInDxzFLMLnfjt2/u6ll3Z83uJnzt92tw20XTsXBKod5hHmU4RychhBif9EiOfgHOtRqGhtYQPtjbhO7JiGdz7Rz6DNb2gyh+9ds9RY6IaYhleNB4xj0scugoTpvADxZ6cMaETAjEGxS8sacd3/nnQfg7Nb3DIx3tbwnj/ncbcdGf9+H+dxuxzx+GlEe6p00vtOOHC7145JIiXDYjB7lOFsbppPWEbyHmzAMgYW0/BPf63+odEo1QmScLd156PC6dPRZCCERjMTQFw/jesxtw37+2IxRJnWPCcK/orBdCqGwxPVB7aEr49KW+lzfWx8+cxSSOK8kZ1iVEArzF6XF5OvPAO8hfdRssXW3oXh8nVDwH/pP/B9KhZupDqkypMJvRyqvNIvDdU93IzbDgxe1BaDGJjYdC+Pbfa/GrxSWY4DHXGfoJY9h0oT8RTeLd/UH8bUsrPqzt6Hm8e3pahlXgjIlZuGiqC+Py7Mf8PN8L1EjFvMacuQjM/DY8a38NITXkbHsWwYrFCBfN1Du0QUuXzwVDYbNa8PVTxmNmmRu/ffMTNAXDkAJ4troW6/b78fNLjx9UowKV09aA4TUjiCF+NVr1nCg5Gk0P9JLsrmtSSnzp4fdQ6+9ERIvhu2dPwecqU+vyIaUILQL3+oeQu/nP6JmqBqB1xtcRrPwCwOmONAgv7gji8fUBxCRgEQK5Tgt+uqgYC8ZzSoqZ1bdF8MK2Vvxzext8wSiA+AeCmJSQEijNseHCShfOmpiJLAev3FCClPC+dycyDlUDQiDsmYz6S/4KWM11ciRdtYUi+N3be/DB3mZIKXsaFdxw9mR8uWqc8sY1ye661t04W+WN93PAQmdI1u3347q/rENMSjhtVjz2zSo4OG+ePsXWsgcF7/wIjqYd6J6qpmV40HzKTYjkT9M7PDKYD2pD+OVqP7o0CYsQsFqAa0/Ox1Wz3abvyJZOojGJ92s68PzWVrxX0wH5qeYCAsDcUicunpqNmWMc/H9PfbJ2NKJwxQ2wRDohhRWBWdcgMOc6vcOiJJFSYsW2w3hi9T50RbXEMUFgwZQC/PiiGcjLOvbKbrKoKHQWSSnfTEZw/bzGIgD/YqEzeLe/sBmvbT6EaExi0bQiXHvGpKSNTSYgJbK3PxufOqCFe7qqhYpnw3/S/yaldfRnKa+cBQCo2fmx8tei0bOnOYK7VzXjcFDraT+9YLwLPz6rCHlcD8XQDrdH8cK2VrywvRWH249cvem99s3ZFVk4b3IWirNN29uIksi1+xXkbXgUkBLSloH6i/5supNskxLTtXYfbtM5En3U+TvxwIqd2OsLAhCwWgXG5Gbgri+cgBPK1NyCn/R1dAB4pJStyQhuoNdhoTM4gc4ILnhwFcJaDFEthvsuOxEVhdlJGZuMz9rRCO+7P0Fm3Xs40lXNEp+qNuUSQIzOlT8WOuYVCGm4b3ULNjXEF4K0WgRKc+y485xiHF+coXN0NBRaTGLNgfjVm9X7j7SG7i5uJIATihy4oNKFk8u49g0NUUxD/qrb4PRthRQCEe801F/8JGBVd7Z/tKV7oQMAES2GJz+owUsb63umsjmsFvznmZPxtXnlSb/qm+x1dITqIqf7dUbhNUzhtc31iGgxSCkxId/FIod6ZO5bgfz37oSlK4DuhgOR3HHwn/Q9RN0T9A6PTCIvw4o7zvTizxva8MK2dmgxibrWCK7+Rx2+PdeDq+Z4+IE4xR1oCePFHW14ZWdbn1dvch0WnFXhwvlTslCSw6s3NEwWK1rm/heKVvw3hBaGvXkn8jY+hsDsa/WOjJLIbrXgqvkTMKM0Fw+9uQvtXVF0yRh+88YnWF/jx48vnoG8zNEpbof8biWlHJXTv6P1OkYnpcQ/PoqvnaPFJM6ZzpbSBFg6m+Bdcw+y9q1A91UcIWNon3IJWmd8w1Rnzyg12CwC35qdi+mFDjy4pgXBcAxhTeKRtc14v6YDd5xd3Gf3LdJPMBzDG3va8eL2Nmyo7+x5PCbjxxYJYEaRA4unuHDqOF69oeTQskvROuPryNv0BITUkLfxMXSUn4lI/lS9Q6MkO2mCF/dddiJ+veITfNLQhqgmseoTH77x2Ae481J1U9l6G/LUNUqOZE1d21wXwL//YS2kBCwW4LFvViHLwbNtaUtKuPa8As8H98HS1YqehgOZHvirvqtrO09OXUsfDe1RPPB+C7Y2xheNtAqBDLsFS07y4IoT3fzArCMpJdbXh/DS9ja8uacdnZF4f6HendNyHRacPjETF0xxoTSXxxNSIKahYNWtcPi2QQqBcP5xOHTRX0xxEo5T144VTUxle/FTU9m+c9ZkXHnyyKeyDTR1jVdNDGzfvn34x0d1AABNSpxakc8iJwmaD9XpHcKwWIMNKHzju8h/57b4VDWpQcSi6Bh/Jg6f81tDrVlAQ+Pzp9YBtTjbhp+fnY9vzMyBzSKgSYnOiIbfvt+Ebz9fh+2NXXqHOCj7DjXrHULS7G4O4/990IRLn6zBdS/U4eUdreiIxBCT8a5qUkrMGePELQu9eOKLxfiPuXlKi5xU22fNwjB5tVjhn3M9pNUBISUcTTuQt/ExvaPql1E/F6QKm9WCb86fgJvPn4pspw1aTKIrGsODKz7BtU+8h9ZQRNlrs9AxsO279mL5tobEPGqJ82aM0TskU2huMNgbWkxD9rZnUPKPy5B54F3Er+JEEcvwoGnBj9FSdQOknWubmFkqfrixWgQum5GDe88twES3vecD9dbDIXzzb7X4xTuNCIRSZ/Xsvuw75Nc7hBGpb4vgTx/5ceWzB3DFMzX4w3o/6tsikDI+1VmLSZRkW/HNWbl4/NJi3H5mPk4ZpSlqqbjPmoGR8qrlxKewQYieKWz25p16h9Unw30uSFHdU9kqi3MgpURUk/hgfwDPfHhA2Wvy9L+BrT+soTMcL3LGujNRWcwmBOnG0bgZ3vfvgqNpO47ci6MhOPF8tJ54FaQtU+8QKc1N8tpx//kF+Me2dvx1UzsiMYlYTOJvWwJYsasd367y4Esz8uCwcjpbMrR0anhjTzte+6T9qPtuek9Ny7ILLCjPwjmTsjAl3851b0g3wUkXIvPg+3D4tgFaF/JX3Y5DF/3ZFFPYqG9FuRn42edn4C9ravDSxoMoyxa46rQJyl6PhY6BvX8wCsCGWAw4Z3oxD1ZpxNIVgHvdQ8je+Xy8LVKio1rUVYyWuTcgXDhD7xCJetgSV3fmj8vE79cHsO5gFzQp0RLS8OvVPvx1YwDXnuzFuZOzYeX9O0N2OBjFW3uCeHtvEOvrO6HFEi2hcaRrmt0icPLYDJwxMQtzS52ws7CkVJCYwlb0RrwLm6NpO/I2PIrAnP/UOzJSyGa14KrTJmBSkQvO5t2wW9VNMGOhY1A7G9pwsEPAYgGsFuCMqYV6h2Qa3uKxeofQPxmDa9eL8FT/BpaQH4CEkBqksKL1uK+ifeqXeCYsDRV41C/4mgyluTbcdroXa+u68Nj6VhxqjyImgbrWCH78RgMeW+fHt+Z4cN6U7JRoWDBhjEfvEPpV0xLGW3uDeGtvEJsbQj2P9y5uBIATih04Y2IWTi3LQJYjdWarG2WfNRoj5rV7ClvvLmydZQsQLjpR79B6pPTnAgObO96DiLtc6Wuw0DGoFz6ug9VqhRaTmFfhRU4GP9wmi3dMar6hOQ9Vw/PhL+Fo2oHeLaNDxbMRmH0tNBdbi6crI324EULg5LIMzC5x4rVdHXh2cxtau+I3xe/3h/GTNxvwyNpmfOWEPFxyXC6ydfxwPmGMV7fX/jQtJrGtsQur93dg5d527GkO9zzXu7gBgCleO06fkIUF4zPgyUzNdbeNtM8aiVHzGpx8ETLq18LZuAkiFkHBO7ei/vPPQNpTY/p1qn4uMIPCkjKl47PQMaBQRMOrmw/1zLk+n00ITM3WegDu6geRtf/N+AOJ+3C0DC8Cs65GqPQUgNMWyWDsVoGLp7pw1sRM/HNHEC9uDyIYiQGJKzwPvOfDo9XNWFyZgy9Oz8XkfKfeIY+65o4o1hzoxHs1HfigtuOo5g2977mxCOC4Qgfmj8vEqeMykJ+VmsUNUb+EBS1V16Nwxf/AEmmHrbUGnupfo/nU3kKNQAAAIABJREFUH+odGRkcCx0DemPbYbSHopBSoig3AzNKc/UOiRQQXa3I2/gYcrY+DRGL4sg0NRvapn4R7VO/BGnL0DvMQeP6OdQXl8OCK07IwSVTXXhpZxAv7Qj2XOFp64rhuc0BLNscwIyiDCyuzMGiSS54s8x56Grr0vBxfQjrD3ai+mAndvRqw9191aZ7IU+7RWB2iROnjsvEvLIM5DhTZ1oa0XBoWUUIzPwPeNb9BkJqyN7+HDrKFiI0bqHeoQ0J189JLeY8WpjcCx/H2xzGYsCi44rYhMBkRKQTOVufQu7mP8ISbkfvaWqdZQsQOOEqxLIK9A6TKKlcDgu+cnwOLp2Wjbf2deCf24OobY0CEhAANh8OYcvhEH79ng9zSzNxxkQXPjfRhSKXcQ9jvmAUWw53YeOhENYd7MT2xq6e6WfAsVPS3BkWzB6TgZPGZmDuWCcybCxuyFw6y89ARv2HyKx7H0JqyF/9U9Rf+ixiGal7vxylNuMeIdJUKKLBIgQkAIsFOGtakd4hUbJoEWTvfB55Gx6FtbMZvQucsGcyAjOvRiR/qt5REinltAmcN9mFcydlYdPhMF7f1YH3D4QQTXQSi0ngg9oOfFjbgXtXNWJyvhNzSjMwpyQTs0szU/aelLYuDXuaw9ja2IVNDSFsaehCfdvRi+R9+qqNRQCV+XbMLc1AVWkGJnhssPDEFpmZEAjMvg6Opu2whvywdhyG9/274DvjXk7RpmERstfZIxo9VVVVsrq6etg/v7OhDa9vPoQLTixJYlSkCy0C155XkPfxo7C1H0S8wIlPU4u6xqB1xtcQKlvAN3lKW61dMayu6cQ7+zqxtfHITfgWEW9u0PtfRoXXgVklmZjsdaDC68AkrwN5GaNX/LR2aahrjeBAIIJdTWHsagpjd3O4z6IGEj0LPkvEr1yNd9twYrETJ45xYnqhA64U6pRGNFqc9dXIf/9OQEpIiw1NC3+G4OSL9A6LkqwjHIU7y4EyT9aIxhFCrJNSVvX1HK/oGFS5NwsLprCltKFpEWTv+idyNz0BW9vRBY6W4UHbcV9Fx4SzAQv/mVJ6y3VasHiKC4unuOALavigLoQPakPY3NDVs2aMQLzo2d0cPqojGQDkZ9lQ4XGgNNeGgiwb8rOsKHDZUJBlhSfTCqdVwGkTcNossFvQMx04JiUimkQ48RWKSvg7Nfg7NbSEtJ4/H2qPorY1grrWKNq7tE+Hj+7Tib2v1gDx+2wqPDZMLXDg+GInZhQ5dO0yR5QqukqqEJxwLlx7/wURi8Kz5hfoKpqFaK7aDl1kPvwEZWBtvoPIHae2/3g6aj5Up7aVpNaF7J3/QN6mJ2ANHkbvAifmyEbr1MsQnHQBYHWoi0EnPn+bYdufprJ0ymuBy4oLK124sNKFzkgM232R+H0uDWHsbo70THEDjhQ/vmAUvo4oRN3gXsNuFYAEQtHYoBcwlb3+IAFIxDuidbMKoCzXholuO6YVOjC1wIHxbltKrBekh3TaZ0eTmfLaeuJVcDZuhK29HpZwG/Lf+SEaFj+my1pxyj8XpLHG+lqUeSqVjc9Cx8DaffUAC52ka25Q84Ymwm3I2fE35Gx9CtYOH44qcOwutE35PIKTL4K0j+wSbioz00E4laRrXjPtFswucWJ2Sbz1dCgaww5fBLubI9gfiGK/P4La1igiMdmrEokTif/0nvjW/adwNL5xVIvBIuLT3nr/uMSR8T49+dthFShyWVHssmK8246JHjvGu20Ym5u+RU1f0nWfVc1MeZW2TPhP+l8UvH0LRCwKZ+NG5H28FIG5/zXqsaj6XECAr74WmM5Ch8iwrO0Hkbv1aWTvfB4i0omjpqg5ctFe+Xl0TLoA0pYaC6MRGVWGzYKZY5yYOebImjtaTKIhqOFAIIqmDg3+UAzNHRqaOzX4O2NoC8cQ1o5MUdOOuW1VwmEVsCe+ch0CuU4r3BkW5GVYkZdhQX6WBWOybRiTHX+cnTCJkiPinYK26Vcid/OfIWIa8jY+jlDpPHSVnKR3aGQQLHSIFHH4tiBny1/g2rc83gu8Vxc1zelG+9QvoGPi+ZC29FgIsbxyFgCup0Ojy2oRKM2xoTRncIc7LSYRjcV7f+zadxDTJ5UqjpCIBtJeeSmchzfAeXgDhIyi4J1bUf/5ZxDLcOsdWp8mFcWvqHE9ndTAQsfAsgvYcU0Fb/EILk9rYbj2LUf29mfhPLwp8eCRAieaPRZtlZeis/wMXeYZkzmZZapKKrBaBKyJfgBFXi7GrAr3WTVMmVdhgb/quyh6479h6QrAGmxA/uqfovGsX45aN9IRfS6gARWUqG0wwULHwHIKeKZRheHMw7UGDyF7x9+Qs+N5WEL+xKPx4gZSoqtgBtqnfhFdxXPYJpqSzpQfblIA86oOc6uGWfMay/TCP/d65L9/F4TUkFmzEtk7lqF92uWj8vq8P0edQhY6RClKiyCzdhWyP3kBmXWre01Pi99/Iy1WdI5dgPbKSxHxTNI7WiIiIsPqKjkJwYoL4Nr9crzl9If3o6t4NiKeyXqHRimMhQ7RENn9u+Da9SKyd73U6+pNr/tvMrwITjofHRPOTdk5xEREREYTOOHf4PBthj2wHyLaiYKVN+HQxX8xdbdSGhkWOkSDIMJtcO19Ha5PXoCzcXPi0SNXbwCgq2AGgpMvRqikiot8EhERJZvVCf/JN6Jw5fchoiHYW/bA+/5daFr4M04Lpz7x0xhRf7QwMg+uQdaeV5FV8xZEtAvdSwHGr95IaBkedIw/Cx0TFkHLZnMIIiIilaK549Ayawk8634LITW4dr+M0Ji5CFZ+Qe/QKAWx0CHqLRZFRv1auPa+hsz9K2EJtyeeODI1TVqsCJWcjI6J56GraCZgseoaMhERUTrpHH8WnL4tyNr3BkQsCu+aexAuOB4R7xS9Q6MUw0KHSMbgbPgIWXtfh2vfik/dd3NkalokZxw6Jp6DzvIzEHOy7SwREZFeAjOXwO7f1XO/TuHKG1F/8ZOQjmy9Q6MUwkLHwNp8B5E7rlzvMIxJCyOjfi2yDryNzJq3YO3wJZ6QiGkarCL+Zy2zAB1lC9BZfjqieRM4B5hSks/fZtq2snpiXtVhbtVIp7xKmxP+ed9HwZvfhyXaCVtgP/Lf+xl8p/8i6cfq5kN1bDGtSGN9Lco8lcrGZ6FjYO2+eoCFzqCJcBsya99FVs1byKhdDUukI/FM95WbeHvokDUHcuLn0Fl+OiKeKSxuKOWl04eb0cS8qsPcqpFueY3mlCEw+1p4qh+AkBqy9r6O7DFz0T7ty0l9neYGFjqq+OprgeksdIiGxdZai4y61ciqWYmMQ+uAmJZ45ujiJubIRsfY+egsPx0bA3mYNkntAlZEREQ0cp3lp8Ph2wLX3tfj6+t8cD/C3mkIF52od2iUAljokKmIaCec9dXIrHsPmXXvwdZ6IPFMd7e07uIGiGYVIVR6MkJjT0XYO/VIS+jWg7rEbnY1Oz/G9j3MLRERJVdg5rfh8O+CvWUPhBZC4crvo/6SpxDLzB/1WHYfbhv116T+sdAxsOwCtjOGlLAH9iCjNl7YOBvWQ2iR7ifRuxU0AITdFQiVzkOo9BREc8v7nJaWTpf9Rxtzqwbzqgbzqg5zq0ba5tXqRPO8m1C48kZYwu2wBg+h8K2b0XDuw4DVPuLhvcWctqZKQYnaGTRCJj4A0uiqqqqS1dXVw/75UETD9vo25GamX61qbT+IjPq1ia8Pj2okEP/WXdhISKsDXQXHI1RShVDpPF3O7hAREZF6zkPr4X3v5z1LQbRN/zr8827UOyzqR0c4CneWA2WerBGNI4RYJ6Ws6uu59PuUTIZj6fAh41A1Muo/REb9Wtja6no9G5+OBhy5ahPJKUNX8RyESqoQzj8uKWdziIiIKLV1jZmDtulXInfLkxAxDTlbn0RX4Qx0VCzWOzTSCQsdSi1Sxq/YNHwEZ+LLHtjXewN8+l6bmC0TXUUnomtMFUJjZiOWWaBH5ERERKSz9qlfhN2/C5kH10DENOS/+xNE3JMQ8arr7EWpi4UO6Sumwd6yG86Gj5DRsB7Oho9h7WjstcGxhY20OhAuOC5e3BTNQiRvAmCx6hE9ERERpRJhQUvVDbCvrIWtrTa+mOib/4tDFz+JmDNP7+holLHQoVElIp1wNG2F8/CG+BWbwxtgCbf32qKPwsZiRTh/GroKT0C4eBbCnilHOqQRERER9SLtWWg+5WYUvHUTLJFO2FprUbDyJhw+5yFOZ08z/LRI6miR+NUa32Y4GrfA6dsCe8vuxD01wJHmAUffYxOzZSDirURXwQyEC2Yg7J0CWJ26/ApERERkPNHccWiZ+114P7gHQkaRUf8BPB/eD/+pt+gdGo0iFjqUHFLC1nYADt8WOBs3w+HbDEfTDggt3HsjHLlak/gzAM2Zh3D+cQgXxgubSO54TkUzofLKWQDi6+kQERGpFhp7ClqPuwK5W5+ONyfY/iwi7gq0H/cVZa85qSje4pvr6aQGFjoG1uY7iNxx5bq8trWjEQ7fVjh8m+H0bYHDtwWWrt7/qHtdtek1DQ0AIjljE1dsjke4YDo015g+17PRi8/flr5rEZAhcZ9Vg3lVh7lVg3k9Vvu0y2FvrUFm7bsQMQ3eD+5DJG8iukpPHvQYzYfq4B3DtXRUaKyvRZlHXaMIFjoG1u6rB0ah0BHhdjh8W3sKGqdvM6zBw5/aqp+rNZn5CHsmI+KtRNg7FRF3BaR9ZP3SVeOBgoyG+6wazKs6zK0azGsfhIC/6npYgw1w+D8BYmEUrvw+Dl385/jC4YPQ3MBCRxVffS0wnYUOjRYtDEfzzkRBswWOxs2wt+7vdV8NcKSoAY66t8buQsQzCWFvJcKeSkS8lYhluHX4JYiIiIgSrE40n/oDFK68CdbOJli6WlC44rs4dNGfIB0sDM2MhU46kzHYAvvi99Q0bYWzcQvszTsgYtHeGyW+Hd0wQFrsiHgmIuKZjK78aYh4KqG5ilNqChoRERERAMQy89F8yg9Q8M6PILQu2Fv2onDlTTi86DfsxGZiLHQMLLugZPAbSwlrR0Oi+9lmOHxb4PBthSXS0XujI997t3cWFkRzxiLimYKwdyrC+VMRzSkzbYtnXvYno+E+qwbzqg5zqwbzOrCIdwr8c6+Hd+2vIKSGjIPvw/v+XWg+7fYBT9R6izltTZWCkjKl45vzk2qayCko7fc5S1fg6GYBjVtg7WzqtcWni5oj99VEs4oQ8UxG2FuJSP5URPIqIG3p096ZBwoyGu6zajCv6jC3ajCvny00biHa2uuQs/UZiJiG7E/+gWhOKVpnXt3vz/D+HHUKWejQZxHREOzNOxJtneNXbGyttb226L+o0Ry5PffVRPKnIeyeDOnkGyURERGZU9u0r8AabEDW/pUQsSjc6/8fNNcYBCdfrHdolGQsdIyocQcsdRtQsrsaOf6tcLTsAmKxXhv03QEtZnMi4q7omYIW8VZCyyzgfTVERESUPoRAy5zvwNrZDOfhDRAxDfmrf4poVvGQ2k5T6mOhY0QvfAf2lgPwarFEjSITzQJkr2YBVkTzxiPcq6iJZpdyIU4iIiIiiw3Np9yEgrd/CHtgP6B1oXDljWi44HFEPJP1jo6ShIWOEY05AWipAWLRnosxUVcJwt4piHinIuydjEjeRMDq0DdOIiIiohQl7S40zb8NhW/dnGg7HUDR8utx6MI/QnMV6R0eJQELHSOasABaVwf8sRzI0pmIeCZB2l16R0VERERkKLGsAjTNvxUFb/8QlmgnrO0HUbT8O2hY/HvEnHl6h0cjJORRC0HSaKmqqpLV1dXD/vlQZxA1W9YiM8+TxKiIiIiI0o+z4SN437sTIhaBFDZ0Fc/E4XN/B2nP1Ds00+oIR+HOcqDMkzWicYQQ66SUVX09ZxnRyKQrfzCsdwim5PO36R2CaTG3ajCvajCv6jC3ajCvw9dVPBstc68HhAVCRuE8vAGFK28EtAiaD9XpHZ5pNdbXfvZGI8BCx8BaWOgowQOFOsytGsyrGsyrOsytGszryHSWn47AzP+IFzsxDRl176Fg1a1oPlSjd2im5WOhQ0RERESkXnDShWg77isABEQsiqy9r2Py/qcT3W3JaFjoEBEREREltE37CoKTLgAAiFgUpQ1vIu+j3+kcFQ0HCx0Dc7vYPlqFAk+O3iGYFnOrBvOqBvOqDnOrBvOaJEIgMPPb6Bz3OQCA1QLkbXgEuRsf1zkw8ykoKVM6PgsdA/Ow0FGCBwp1mFs1mFc1mFd1mFs1mNckEhb4q25AaMxcWER8Gpt73W+Rs/lPekdmKoUsdIiIiIiIRpnFhuZTbkJX0UwAgIhp8Kz9NXK2/lXnwGiwWOgQ0agor5yF8spZeodBREQ0eFYnmk+9BV0FMwDIeLHzwT3I3rGsz80nFeVgUhGvrKUKFjpERERERP2Qtgw0z/8RwvnTAEgIqcH73p1wffKC3qHRZ2ChQ0REREQ0AGnPQtNptyHsmQLIeLGTv/oncH3yT71DowGw0CEiIiIi+gzS7kLTgh8j4q6IFzuxKPJX34HsHX/TOzTqh03vAIiIiIiIjEA6stG04A7kr7od9sA+iFgU3vd+Dmv7IVg7G3Hoe9nIdQo4Hj8RbZVfROuJ/45obrneYactXtExMH8wrHcIpuTzt+kdAtGQcJ9Vg3lVh7lVg3lV49N5jTlz4fvcz45MY4t0wrvmbuRu+iOy7AKRGCAincjZ8iTGPns+Mg+8o1Pkqa+xvlbp+Cx0DKyFhY4SPFCQ0XCfVYN5VYe5VYN5VaOvvEpHDpoW3oFI3gRYIu2Id2SLQHZvICwQwgIRDaPoX9fC1lozmiEbho+FDhERERFRapF2FyJ54wEh+t/IYoXQIsjd+MToBUY9WOgQEREREQ1D1v6VkBYHIKzAkes5EFrXUdtl73x+lCMjgIWOobldDr1DMKUCDxf6ImPhPqsG86oOc6sG86rGQHm1RDoACEirM1HsJMSiEFoo8RcBS7hdaYxGVVBSpnR8FjoG5mGhowQPFGQ03GfVYF7VYW7VYF7VGCivMXsWuq/kSKuz1zMSiGkQ0RCAGGKObKUxGlUhCx0iIiIiotQTnHjOAPfoSEBqENEuBCsWj2pcFMdCh4hGRc3Oj1Gz82O9wyAiIkqa9qlfgrTYAKkBALJdLmS7XIDFAUAgfrVHIqNhHWytB/QMNS2x0CEiIiIiGgYtuxRNC+6AtDoAGUt8SUhhASw2AAIxuwvWYCPGvPRvcDZ8pHfIaYWFDhERERHRMHWVnISGxY+ifcolkLZMABqkLRNtlV9A06m3QDqyIaQGS6gZRa9dg6zdr+gdctqw6R0AEREREZGRadmlCMz9LwTm/tcxz0XdE+F9/25YQy2AFkLBOz9CoLUGgVnXDLwGD40Yr+gQERERESkS8U6F74x7EMkth5ASIqYh7+OlyF91G6CF9Q7P1FjoGJg/yH8cKvj8bXqHYFrMrRrMqxrMqzrMrRrMqxrJyKvmKobvjLvRVTQTgISIReHa/TKK/3UtLJ3NIw/SoBrra5WOz0LHwFpY6CjBA4U6zK0azKsazKs6zK0azKsaycqrtLvQdNptCE48FwAgYlE4G9aj5MWvweHbmpTXMBofC53hEUJcJoRYKoS4J/G1VAhRkcTxK4QQ65I1HhERERGZnMWGwOzrEDjhKkghIGJRWNsPoviVb8G160W9ozMdUzYjEEIsBeCVUl7e6zE3gHVCiGuklCuGOa4bQBWAcwDcBKAlGfESpYPyylkAwLV0iIjItAZ1rBMCwcpLEc0dB8/aX8ESbgeiIeSvuh2Opu3wV/03YLWPUsTmZrorOkKIywB8uXeRAwBSyhYA1wB4LlGwDHXcRQCeQ7zIeQbAsIqlZHK7HHqHYEoFnhy9QyAaEu6zajCv6jC3ajCvaqjKa9eYuWg88z5EcsdDyBhETEPO1qdQtPw/YQmlx307BSVlSsc3XaED4B4Aj/T1RK8rObcMdVAp5Qop5TlSypullOtHEmCyeFjoKMEDBRkN91k1mFd1mFs1mFc1VOZVyy6F74xfoHPsKehuUpBRvxYlL1yRFouLFrLQGTwhxBwAFQDWDrBZNYAloxMREREREVH/pD0L/nk3oXXGlYn7djRYg4dQ/OrVyN30B0DG9A7RsExV6ABYlPi+Z4Bt9gBwJ7MxARERERHRsAkL2qd9Gc3zb0XMkQMhNYhYGO7qB1G44ruwhPx6R2hIZit0Tkp8H6jQ2Z34PkdxLEREREREg9Y1Zi4On/1rhPOPA2R8Kltm7bso+ecVcDawmc9Qma3QcQM9jQf60/2cV304RERERESDF8sqgO9zP0d75RcAINGCuh7Fr/4H8j5eCsSiOkdoHGYrdIZSvAy58xoRERERkXIWG1pP+Caa5v/oqKlseR/9DsWvfhu21gN6R2gIZltHZyjFS76yKPohhFiCRCOE0tJSvPXWWz3PTZgwARMmTOj3Z/ft24d9+/b1/H3s2JIBX8vnbztqJd8CT86AXUO4Pbfn9tye23N7bs/tuX2qbT8N0bN/BffaX8Pp2woho3Ae3oCSF76K5nnfx4GcKjQfPtizvbd4LLxjxvY7fvOhOjQ31KXM9o31tdi14Uj8Q/08PNC2ACCklANuYCRCiN0AKqSUYoBtlgBYCuBeKeXNI3it5QCqpJSe4fx8VVWVrK6uHu7LI9QZxIYPV6O0tHjYY1DffP42tuhUgAuGqsN9Vg3mVR3mVg3mVY2h5FXZsS6mIfuTfyBn69MQsQiksALCgs7yM9F02q2IZRjvjoyOcBSRwGHMnl45onGEEOuklFV9PWe2qWtD0aR3ACPVEgzrHYIp9T6TQmQE3GfVYF7VYW7VYF7VSIm8Wqxon/ol+M64B9GcssQCo1Fk1qxE6d8vR9be1wEDXrzw1dcqHd9shU4LAAghBjOFbaCGBUREREREKSXimYTGs36F4KQLAcQbFVg6fSh462YUrLwRlg6fzhGmFrPdo7MH8bbRXvRfyHQXQc2jEhERAYhfxt++5+Bnb0hERGRQozE9W9qcCMy6GqExc+Be/zCsnT5ASmTtfxMZh6rhP/lGBCddBIh+7+RIG2a7otO9fs5AV3QmJb6vVxyLcm6XQ+8QTInzm9VhbtVgXtVgXtVhbtVgXtVI1bx2jZmLw+c8iODE8wDE19yxhFqQv+p2FC6/Hta2us8cQ28FJWVKxzdbofNM4nvFANtUAGiRUg60qKgheFjoKJGqb2hmwNyqwbyqwbyqw9yqwbyqkcp5lXYXAnOug2/hTxF1FR+5d6fuXZT+4zLkbngM0FL3nu5CFjqDJ6Vcj/iUtXMG2GwRgEdGJyIiIiIiIrXCRSeicdGDaJ98MaQQEDENItIB9/qHUPLCV+A8+KHeIerCVIVOwtUAvtxXQwIhxGWIF0J39/WDQojnhBDLB9nMAOCio0RERESUAqQtA60zvw3fGb9AxF3Rc3XH3rIXxf+6Fvlv/xDWjka9wxxVpit0pJTLADwL4NHejyeKl3sAXC6lPKZRgRBiEYDLEL/i8+VBvFRFr3GJiIiIiHQX8U5F45n3IjDrasTsWRAyCiGjcO15FaXPX4rcjY8DWpfeYY4Ks3VdAwBIKa8RQlwmhFiKI93X3ADO6e/eHCnlCiFEd4OCZz/9vBBiDo4UTxU4cjVnrxCie8y7E4UWEREREZE+LDYEJ12IztJTkbfpD8g88A6EjALhdrjX/RbZO55HS9UN6Jhwjqm7swlpwMWFzKCqqkpWV1cP++dDnUHUbFmLzDxPEqMiIiIiIrNxHN6IvA2/h721BgAghRUQAl3Fs+E/+XsIF8wY9Zg6wlG4sxwo82SNaBwhxDopZVVfz5lu6hoRpabyylkor5yldxhERETKpOqxLlx0IhrP/hVaZl+DmCMHQmoQsSicDesx5sVvoOCtH8CWKILMhIWOgfmDqdsu0Mh8/ja9QyAaEu6zajCv6jC3ajCvapgmrxYbOioWo+H836F9yuchLbZ4dzYZRdbef6H071+E9707R7VhQWN9rdLxWegYWAsLHSVM84ZGaYP7rBrMqzrMrRrMqxpmy6u0u9B64rdw+JzfoLP0FEDGFxuFFkb2jmUoXXYx3NUPwNIVUB6Lj4UOERERERElk5ZdCv+pP0DjGfegq/AEiETBI6KdyN30R5Q+dyHy1j0ES8ivd6jDxkKHiIiIiChNRfKnomnhT9G04A6EPZN71t+xhNuQt/ExjH3uovgVns4mvUMdMlO2l04XbpdD7xBMqcCTo3cIREPCfVYN5lUd5lYN5lWNtMirEOgqnoWuopnIqHsfOduehr31ACBjQKQduZv+iJxtz6C98ktoPf4b0FzFSXnZgpKypIzTHxY6BuZhoaNEWryhkalwn1WDeVWHuVWDeVUjrfIqBEJl8xEae0q84Nn+HOyBfYmCpwM5W59EzvZnEJx4PlqP/zdEvFNG9HKFLHSIiIiIiGjUCAtCZachNPZUZNSvRc62Z2Bv2QPIGKSMwbX7Jbh2v4zQ2FMROP6b6Co5KSUXHmWhQ0RERERExxIWhErnIVRyMpyH1iF759/h9G2JFzxCIKNuNTLq3kfYOwVtx12BjorzIW0Zekfdg4UOERERERH1Twh0lVShq6QK9uYdyP7kn8ioex8ipgGIwdG8A/mrfwJP9QNor7wUbVMvh5YzVu+oWegQEREREdHgRLxT4Z/3fVjb65G960Vk7VsBocXXdrSE/Mjd9Efkbv4zOsctRNvUyxAqPRWwWHWJlYUOERERERENiZZdgsCsJWidfgWy9r0J155XYAs29Exry6x5G5k170BzFaN9yufRPuXz0LJLRjVGIaUc1RekuKqqKlldXT3snw91BlGzZS0y8zxJjIqIiIiIaBhiGpwN6+Ha/TIyGj7ueVgKa7xRgbCgs/RUtFdeis5xn0OHZoE7y4EyT9aIXlYIsU5KWdWbgiW1AAAgAElEQVTXc7yiY2D+YBiZeXpHYT4+f1t6tZIcRcytGsyrGsyrOsytGsyrGszrIFms6Co5CV0lJ8HaVgfXvuXI2v8mLF2tgASksCCz7l1k1r2HmDMXLePPRXPhqcD8i5R1bLMoGZVGRUswrHcIpuTzt+kdgmkxt2owr2owr+owt2owr2owr0On5YxF6wlX4dDix9A870Z0Fc2CkDGImAYRi8AS8sOz41lMfPt6YMPTyuLgFR0iIiIiIko+qx2hsgUIlS2ANdiArH1vIKtmJawdjYCUkAAw6SxlL89Ch4iIiIiIlNJcxWibcSXapn8VjsYtcOz+Fzra2zA2Z4yy12ShY2Bul0PvEEyJ83DVYW7VYF7VYF7VYW7VYF7VYF6TTFgQLjoBra4JCEZtULnaDu/RMTAPCx0l+IamDnOrBvOqBvOqDnOrBvOqBvOqTlGh2u7BLHSIiIiIiMh0WOgQ0agor5yF8spZeodBRESkDI91qYWFDhERERERmQ4LHSIiIiIiMh0WOkREREREZDosdIiIiIiIyHRY6BiYPxjWOwRT8vnb9A6BaEi4z6rBvKrD3KrBvKrBvKpz2NeidHwWOgbWwkJHCb6hkdFwn1WDeVWHuVWDeVWDeVWnsYmFDhERERER0ZCw0CEiIiIiItNhoWNgbpdD7xBMqcCTo3cIREPCfVYN5lUd5lYN5lUN5lWdwny30vFZ6BiYh4WOEnxDI6PhPqsG86oOc6sG86oG86pOUQELHSIiIiIioiGx6R0AEaWHmp0f6x0CERGRUjzWpRZe0SEiIiIiItNhoUNERERERKbDQoeIiIiIiEyHhQ4REREREZkOCx0D8wfDeodgSj5/m94hmBZzqwbzqgbzqg5zqwbzqgbzqs5hX4vS8VnoGFgLCx0l+IamDnOrBvOqBvOqDnOrBvOqBvOqTmMTCx0iIiIiIqIh4To6RDQqyitnAeAaA0REZF481qUWXtExMLfLoXcIplTgydE7BKIh4T6rBvOqDnOrBvOqBvOqTmG+W+n4LHQMzMNCRwm+oZHRcJ9Vg3lVh7lVg3lVg3lVp6iAhQ4REREREdGQsNAhIiIiIiLTYaFDRERERESmw0KHiIiIiIhMh4UOERERERGZDgsdIiIiIiIyHRY6BuYPhvUOwZR8/ja9QyAaEu6zajCv6jC3ajCvajCv6hz2tSgdn4WOgbWw0FGCb2hkNNxn1WBe1WFu1WBe1WBe1WlsYqFDREREREQ0JDa9AyCi9FCz82Ns33NQ7zCIiIiUqdn5sd4hUC+8omNgbpdD7xBMqcCTo3cIpsXcqsG8qsG8qsPcqsG8qsG8qlOY71Y6PgsdA/Ow0FGCb2jqMLdqMK9qMK/qMLdqMK9qMK/qFBWw0CEiIiIiIhoSFjpERERERGQ6LHSIiIiIiMh0WOgQEREREZHpsNAhIiIiIiLTYaFDRKOivHIWyitn6R0GERGRMjzWpRYWOgbmD4b1DsGUfP42vUMgGhLus2owr+owt2owr2owr+oc9rUoHZ+FjoG1sNBRgm9oZDTcZ9VgXtVhbtVgXtVgXtVpbGKhQ0RERERENCQ2vQMgouHbtGUb7r7vAbQEWtHa2oavffVLuO7qb/U8v2r1Gjz86BNoCbQCAO75+e04YcZxeoVLREQ0LDze0XCw0DEwt8uhdwimVODJ0TuEQVm1eg1uuf3nePKJ32F8eRn219Ri4aKLAADXXf0trFq9Bk8+swxP/WEpAODhR5/AFd9cgtVvvoy83Fw9Q6ckM8o+azTMqzrMrRpmzavexzuz5jUVFOa7lY7PqWsG5mGho4QR3tA2bdmGW27/OV7++1MYX14GABhfXoYrv/Il3H3fg9hfU4u7738Qv/vN/QCAQGsrVq1eg9bWNrz73gd6hk4KGGGfNSLmVR3mVg0z5jUVjndmzGuqKCpgoUNEn3LzrT/Fw7+575gzVd2X6b/2rWtx8QXn9jz+1DN/63nDz83hGzYRERkDj3c0Epy6RmQwq1avQfm4sX3OPW5ti3eGqTlQiyu/8qWexxfMPwXl4/6GBfPnYeFpp4xarERERMPF4x2NFAsdIoN5+NEncMv3/7vP5zZs2gIAuOD8RUed/TphxnF4942XPnPsu+57AK2tbfjFz25LTrBERETDpOJ49+Rfl2H/gVps3rINLYFWLJg/D9+55t9576pJsdAhMpi+LuF3e+W1FQCAiy84b9Dj3XXfA6g5UIvycWV45bUVOH7GtKTESURENBIqjncXX3AevvbVy3oeu/Kqa3DaWRfi5eef7rkHiMyDhQ6RwfT3pr9q9ZqeP194/jmDHu+Hvc6Wbd6ybfiBERERJVEyj3cvv7YcC+efcsw0uKf+sBTHVy3Edd/9Pl75+9PDD5ZSEpsREJnEy68tBxC/jJ+KanZ+jJqdH+sdBhERGdxwjnerVq/p956d71zz79i8ZRv219SOODYe61ILCx0D8wfDeodgSj5/m94hDMtLr74OYGiX8UebUXOb6phXNZhXdZhbNdIlr8M53r306uu44AtX9Plc+bj4lLXNW/ue1ZAuedXDYV+L0vFZ6BhYCwsdJYz4hrZpyza0tsbjXjB/Xp/bXHnVNQi0to5mWMcwYm6NgHlVg3lVh7lVIx3yOtzj3YnHT4c7b3gNB9Ihr3ppbGKhQ0QJm7Zsw5VXXYOHH33iqMef/OsyAPGzUn3Nad6UuPeGXWWIiMgIkn28e+oPS/HUH5b2+VrdHdyOn35sG2syNhY6RAZy3Q3fx7vvfYD/W/r4UY9/1urPd9/3QL8tOomIiFLNaB7vnnomvu4Ou66ZDwsdA3O7HHqHYEoFntRdSbklEACAoxZHe/Kvy3D3T2/FgvnzUHOg9pjL9Q8/+gTKx5X1ueDaaEvl3BoZ86oG86oOc6uGmfI6Wse77itGd/+0//XjzJTXVFOY71Y6PgsdA/Ow0FEild/QFsyfh+NnHNfTEnrTlm3Yf6AWC087pecM1lPP/K1n+7vuewAbNm1JmQVAUzm3Rsa8qsG8qsPcqmGmvI7G8W5/TS3+b+njePqPjwx4NcdMeU01RQVqCx0hpVT6AtS3qqoqWV1dPeyfD3UGUbNlLTLzPEmMiozgB7f9DBs3b4U7L/eogwAQb5959/0P9vz94gvOxXVXf2vQY1951TXIzc3B735zf1JjJiIiGiqVxzsAuOALV+CWG7/bb9tpUisUbIPLU4jS8VNHNI4QYp2UsqrP51jo6IOFDqUilYVOeeUsAOD6AkREpLtrb7gRX/vKZUkvcnisG7zRKHQ4dY2IiIiI0sZd9z2gpMih1MNCh4iIiIjSwpN/XYaF8085psgJtLbi5deW6xQVqWLTOwBVhBCXATgHQPdKRG4A90gp96TiuERERESkzqrVa+B25/V5JWfjpq0oH8f20mZjykJHCLEUgFdKeXmvx9wA1gkhrpFSrkilcYlSRUug9bM3IiIiMphNW7bh4UefwMLTTjlmEVIAePGV1/H0H/teUJSMy3SFTuKKy5ellEfdpS+lbBFCXAPgOSHERCllS98jjO64I+EPhpGZN1qvlj58/ra0aiX58KNPYMOmLag5UIfNiRWlu5sSLJx/Cr721ct0jpA+S7rts6OFeVWHuVWDee3fFd9cgtbWtn4XHM3NzUFebm6fzzGv6hz2taB0vLrxTVfoALgHwCN9PSGlXCGEAIBbANycIuMOW0swjNLRerE0km5vaENtx0mpJ9322dHCvKrD3KrBvPZvc/WqYf8s86pOY5Pa6wOmakYghJgDoALA2gE2qwawJBXGJUoH+2oO4Ed33Nnz9+mzT8OP7rgT+2oO6BgVERFR8vBYl5pMVegAWJT4PlBjgD0A3EKIihQYl8jUVr79Ls67+HI8/ezfex5rDwbx9LN/x3kXX46Vb7+rY3REREQjx2Nd6jJboXNS4vtABcnuxPc5KTDuiLhdjtF6qbTCy9PJsa/mAK694UZ0doYQjUaPei4ajaKzM4Rrb7iRZ7uSgPusGsyrOsytGsyrGgPllce6kSnMdysd32yFjhuINwgYYJvu57wpMO6IeFjoKMEDRXI8+vifEIlEB9wmEoni90/8ZZQiMi/us2owr+owt2owr2oMlFce60amqEBtoWO2ZgRDLl50HndEYlJDpCs0Wi9HNCR/f+HlY85ufVo0GsXzL7yEH//gf0YpKiIiouThsW74YtGw8tcwW6EzlCIjf7THFUIsQaJhQWlpKd56662e5yZMmIAJEyb0O+i+ffuwb9++nr+XjyuDy1uEWD//uHwt7WhqaT8SlDsbBe7sfsfn9tw+2dsHOzr73b63YLAD/mA45eLn9tye23N7bs/tP2v7oRzrdtU1p1z8em5vtTsQaO/CzhF8Hh5oWwAQUsoBNzASIcRuABVSSjHANksALAVwr5RyUK2gVYxbVVUlq6urB/PyRIaUm5uLtra2QW0XCARGISIiIqLk4rFOf0KIdVLKqr6eM9s9OkPRZLBxiQzl61//Oux2+4Db2O12fOMb3xiliIiIiJKLx7rUZrZCpwUAhBCDmWo2lBWKVI1LZFrf+973BvXm/z//wznLRERkTDzWpTazFTrd7Z8Hah7QXaw0p8C4RKY1adIkLFu2DFlZWcccBOx2O7KysrBs2TJMmjRJpwiJiIhGhse61GbWQmegKy/de9r6FBh3RHrfjEXJw7wmz+LFi7Fx40YsWbIEubm5EEIgNzcXS5YswcaNG7F48WK9QzQF7rNqMK/qMLdqMK9qfFZeP32ss1gsPNYNkup91myFzjOJ7xUDbFMBoEVKOdDin6M17ojwDU0N5jW5Jk2ahIceegiBQABvvvkmAoEAHnroIZ7dSiLus2owr+owt2owr2oMJq+9j3WapvFYN0gsdIZASrke8Xtkzhlgs0UAHkmFcYmIiIiISA1TFToJVwP4cl+NA4QQlyFesNzd1w8KIZ4TQizvp+nAsMclIiIiIqLRZap1dLoJIZYC8EopL+/1mBvAOgDXSClX9PEziwAsT/z1GinlMVdnhjPuADE2Atg/2O37UQDAN8Ix6FjMqzrMrRrMqxrMqzrMrRrMqxrMqzrJyO14KWVhX0+YstABeq6ynIMj7Z7dAO4Z6B4aIcS6xB/PllL22SZ6OOOqIoSo7m+BJBo+5lUd5lYN5lUN5lUd5lYN5lUN5lUd1bm1qRpYb1LKZQCWDfFn5qoYl4iIiIiIRpcZ79EhIiIiIqI0x0LH2NjlTQ3mVR3mVg3mVQ3mVR3mVg3mVQ3mVR2luTXtPTpERERERJS+eEWHiIiIiIhMh4UOERERERGZDgsdIiIiIiIyHdO2lyYiIlK19lkqramml2TnQAgxB8CjAJ4BsKx7HCFEBYBFAC5HfHFu0+c48Ts/N5hlLwY5Xtrvr92SlVvur0cIIe5B/Hd2Jx5aD+BuKeX6EY474v2WzQiIiMiUhBBLAXillJf3eswNYB3iH0BWpNK4RqIiB4kPjuv6eboF8cW8R/TBKZUl8leF+Ae7mwC0SCk9SRiX+6uC3Kb7/gr0FHX3oFdRk8j1owAuA3CvlPLmYY6dlP2WV3QMIpWrZbPgWR41eGYyuXgWfXASefrypz/MSClbhBDXAHhOCDFRStnS9wijO66RKM7BMgDNACoAeAHsAbBcSmnq9r5CiEUAbkb82P4MgDmIfzAf6bjcXxXlNiEt99de7gFwde/9J/Hny4UQzwG4SQixe6j5SOp+K6XkVwp/If6P5zkAc3o95k48JhH/gDPcsZci/gEUnxp7N4BFev/uo5RfN+If5u5J5NOfhDHnJMbq68vf+/+lWb9U5DUxblrvsyp+f7Pur4mc9Pv+mPjdhvz+qWpcI30pzO0cAEv0/v1S4QvA8iQdj9J+f1WY27TeXxPH+H5//8SxScZLjSGPnbT9ls0IUl93tdxz5UZK2SLjl/KWIV4tLxnqoL2q5ct7Py7j1XF3tezu84dNInGW5znEz44/AyCZl++XIb4I1grEzyItQ/ysuEea/1K2krym+z6r+Pc31f6auEpVAWDtAJtVAxjSe6eqcY2EOTAO/r8ixS4f6MnEsal7OtucwQ6a7P2WhU4KS3xgXC77vzR3deL70mEMfw/6WY1WHpn3eMswxjUMKeUKKeU5UsqbFXyYWy6lvCYx/lwp5eUyTS5lK8xruu+zKn9/s+2vixLfB5putweAOzFFT+9xjYQ5MA7+vyKVKgAsFULcNMA23fveUKYKJnW/ZaGT2gxRLROplu77bLr//sNwUuL7QAfK3Ynvg37vVDiukTAHxsH/V6TScsTvFR1o/+qeZTCUezyTut+y0ElthqiWiUZBuu+z6f77D5Ub6DkZ1J/u57wpMK6RKM+BEKJCCHGTEGKJEOIeIcRziRkONDTcX0dBuu6vUsp7E9Oblw2wWfdn0+ohDJ3U/ZZd11LbcsR3Er2rZUN1WyJTSvd9Nt1//6EacvGi87hGojoH5wBollLe2/1A4t6zN4QQSw0+pXK0cX9Vj/trPxLFnhvxbp5D6eqX1P2WhU4KS/zDufczNtO9Wqa+Jc6sX4Z4LichcYVOpsGaBQqk+z47KmfRYZ79dSgf2vJTYFwjUZmDFsTvFzvqDLGMt5S9GsA6IUS1ERtk6IT7q1rcXwd286e+D1ZS91sWOgaWKtUy9YlneZIr3fdZnkUn05PxtZr6a7ixXvx/9u49vK3qTBv+vXxMbMfZkUMgJ3BkXlpaaN/KzkBhWmgjlZnp8A5t5YQeoO03E6u0nU6hHWvcOfRcV6YFeoBBzkzLFPoNidR+0wO0MxKdTFv4aLE1tFCgDBYiCSEk2FZiJ7ZkW+v9Q9qKDzraWtrS9v27Ll9OpL231n6yI+1Ha61nCRFFsiiHo6wNI8qA12t2qWrAdgAOafAabJyjU90qIlumJbJ+y4NkpTxvMcUjCACvWUO+RcfquF5Hq+y41aTUMRgCYDdzGXkD8XotvVV5vaZGB3gBdJdhREDe65aJTpWqpGyZFpJShrN9A57qwta/5SEynEmv1yiQ7pUqaFuDj1tNjIyB/lnHghuF4fVqrNV6vfoAuPMUKcilpNctE50qVGnZMhVtVX7LU0ar/Zrlt+hnbzByDfnTz2esAo5bTZTFoICKgfpNTTFVRlczXq8K8XpdSggRALB//jDoZSjpdctEpwSEEE4hhCzBT6HfmlZUtqySAbEtB8O/5anCuFbFNaswrvwWvTh6m3PFqyP1u5iJwqqOW02UxEAI4QUwIoRw5tiMN+XF4fWqCK/XpVIxCawwyQFKfN2yGEEJSCn9QojOEhwq7xC0EmbLNiSz5Ww3RRXxH7ScsS0VIYQ1z3DC+d/yGPLhUoVxrYprVmFclZ1/NVyvy7AfQC+SyVm2NlsBRIsc+qvquNVEVQz0azvXPvo3vNVyHRqN16s6vF7nEcn1Hkcy3ZumvqDrKmIEUkmvWyY6JVKO8oGVmi2rVk2lGVP/Rj1CiO4cPW6G35AD1RVXVNE1qyiuKr9Fr4rrtRjzKh45AGQ7Lzvyl+8vy3GricIYPIbkSIVcNy52ACHelBeG16tSvF5T9F6tHPemRQ3dK/V1y6FrVSJftiyKW4V3f+p3rqEo/JZnefgtjxqr/ZpVdf5mvl73Atidabhf6oM5CqA/044iubJ5IMtQwWUf10RUxHYQOSqIimQBHg1A97JbXX0KmhfH63VZVhpbXq8ARLIipzXPF/AOZFjrsWzXrZSSPxX+g+Qifr05nrcDsBd5zHEkFwPM9rwE4DH63Msc5wCA8RUeozf1nz5f7IeNPt9qiuu8uK3aa1bF+Zv9ekWyaItv0WMagJFs75mp91OZ+ukp1XHN9qMitqnnfYuvSQA9qevQafR5lzG+I6k4aXm24/VqUGxX+/WK5Jdr46nP+Gw/w5k+/8t53YrUjlShUtmyXebIllMTl/vlokVDhRA+pL5RyPCcE8A+ADuKec7MUvOf7FJKUcC2GWOb+vbBI6V0ZdmvB8n/vB3SnD0PS5QirqnnVvU1u5LzX83Xayo2Dpyda6Sfc9bzEUIMp/64K9v1tJzjmo2K2OrXJJI9ifq3uWEkhwmZ8v82kP6s35f6qxVnz31+j2u/zDDElNdrbipju1qvV+DsZ3sBm4aklEvmrpbrumWiU8FEsnThMDJ0+c1jQfLbhA2L9rUjmU0DgEtmWCcjNT7fIqXsnveYlnpNl1RfurqiCCFGkHwT3JDrDSpfbFPPu7Bo/G7qptEDYG+mN1SzKlVcU9us6mt2OefP65WIiFYrJjoVrFqy5WrFb3nU4DeTavFbdCIiosIw0SEiIiIiItNh1TUiIiIiIjIdJjpERERERGQ6THSIiIiIiMh0mOgQEREREZHpMNEhIiIiIiLTYaJDRERERESmw0SHiIiIiIhMh4kOERERERGZDhMdIiIiIiIyHSY6RERERERkOkx0iIiIiIjIdJjoEBERERGR6TDRISIiIiIi02GiQ0REREREpsNEh4iIiIiITIeJDhERERERmQ4THSIiIiIiMh0mOkREtKoJIXqEEMNCiJHUT2+GbbzztgkIIaxGtJWIiArHRIeIiFYtIYQPgAPALillB4BuAJ7U4xBCaEKIYQA+KWVnapsQgGEhhGZYw4mIKC8mOkREtCqlkpmwlLJbShkFACllCMAgAKcQwg5gH4B+KWUwtY8TQC8ADYDdmJYTEVEhmOgQEdGqk0pYIKV0Z3g6kPrtBaBJKf3znutT3TYiIiqNOqMbQEREZAAPgM4sz1lSv60AFidC+1OPBxclQEREVGGElNLoNhAREZVNqjfHIaV0ZXneC6AHAKSUopxtIyKi0mGiQ0REq4oQwobk3JxolufHkZyD45dSdpe1cUREVDIcukZERKtKquBARqkkSK+mtr88LSIiIhVYjICIiOisPfofOAeHiKi6MdEhIiI6y5n6HTS0FUREtGJMdIiIiAAIIaxIVlQDAF+O7bh+DhFRFWCiQ0RElOSc9+cDmTYQQmhIrq9DREQVjokOERGtGkIImxBiJPVjXfT0/Pk5GSuyIblgKBMdIqIqwKprRES0mnhwdniaDUAYSFdb02UrO20F4JRSdihtIRERlQR7dIiIaDWxpH6HsbDgQB+AXQBCALTUELW01N99ALiuDhFRlWCiQ0REq4m+No5DH54mhPAC2J/6+97U8/v0HVLFB4YB7M21Bg8REVUWDl0jIqJVQ0o5IIQAgIAQQh+i5pZSBlPPh4QQnQA8QogRJIexhZFMjMKGNJqIiJZFSCmNbgMREREREVFJcegaERERERGZDhMdIiIiIiIyHSY6RERERERkOkx0iIiIiIjIdJjoEBERERGR6TDRISIiIiIi02GiQ0REREREpsNEh4iIiIiITIeJDhERERERmQ4THSIiIiIiMh0mOkREREREZDpMdIiIiIiIyHSY6BARERERkekw0SEiIiIiItNhokNERERERKbDRIeIiIiIiEyHiQ4REREREZkOEx0iIiIiIjIdJjpERERERGQ6THSIiIiIiMh0mOgQEREREZHpMNEhIiIiIiLTYaJDRERERESmw0SHiIiIiIhMh4kOERERERGZDhMdIiIiIiIyHSY6RERERERkOkx0iIiIiIjIdJjoEBERERGR6TDRISIiIiIi02GiQ0REREREpsNEh4iIiIiITIeJDhERERERmQ4THSIiIiIiMh0mOkREREREZDpMdIiIiIiIyHSY6BARERERkenUGd2A1Wrjxo2yvb19RceIx+NoaGgoTYMojXFVh7FVg3FVg3FVh7FVg3FVg3FVpxSxHR4efkVKeU6m50yd6AghrAB8UsrOEh3PCcABIJp6SAPgkVKGiz1We3s7hoaGVtSegwcP4uqrr17RMWgpxlUdxlYNxlUNxlUdxlYNxlUNxlWdUsRWCPFCtudMl+gIITQAXUgmJL04m5Ss9LheABYpZfei1xoWQriklMFSvA4REREREa2cqeboCCHsAHxIJjn7AZQk+Uj15Oyen+QAgJQyCsAFwJdKespqpUPfKDPGVR3GVg3GVQ3GVR3GVg3GVQ3GVR3VsRVSSqUvYCQhRABAl5RywwqPMwLAL6V0Z3l+HMBgtucz6erqkisdukZEREREtJoJIYallF2ZnjNVj44KQggbACuAx3JsNgSgpzwtIiIiIiKifJjo5GdP/c5VcCAMQEsVPyAiIiIiIoMx0clvZ+p3rkRnJPXbprgtRERERERUACY6+WlAuvBANvpzFvXNISIiIiKifJjo5FdM8lL2ymtERERERLSU6dbRUaCY5KUt15NCiB6kihZs2bIFBw8eTD/X3t6es8ReJBJBJBLh9tye23N7bs/tuT235/bcntsjf3lqlpfOf4wRAFYppcixTQ8AL4CBQktMl6K8dCQSyfsPTMVjXNVhbNVgXNVgXNVhbNVgXNVgXNUpRWxZXrp8Rsv5YvMzWiodxlUdxlYNxlUNxlUdxlYNxlUNxlUd1bFlopNfFACEEIUMYctVsICIiIiIiMqEiU5+elnpXEUJ9CRoTHFbiIiIiIioAEx08tMTnVw9Oh2p3yHFbVmA40XVYFzVYWzVYFzVYFzVYWzVYFzVYFzVUR1bFiPIfwwbgGEA3VJKf6lepxTFCIiIiIiIVjMWI1gBKWUIybk3jhyb2QEMlqdFRERERESUz2pYR6egdXCEEL7Utt1SysVFBfYC2CeEcC9+TgjhRDIR6i9FY4mIqHJJKRGLxXDq1ClMTk5iZmYGiUTC6GYREVWk2tpaNDQ0YP369WhtbUVtbW1ZX9/siY4VSFZMy5C8pAkh7ACcqb/uxqLeGSmlXwjhALAPQPe8/TQAHmROjoiIyERmZmZw+PBhJBIJtLa2YvPmzWhoaEBNTQ2EyLrUGhHRqiSlxNzcHKampnDy5EkcP34cmzdvRmtra9naYKpEJzWfZl/qr1ac7c15XgihFxXoXzzXRkoZFELohQQOZDq2lNIlhHAKIbw4W4u9FNIAACAASURBVEZaA+CQUoYz7UNEROYwMzODQ4cOQdM0WCwWJjZERHkIIVBXV4d169Zh3bp1mJ6exqFDh1BXV4empqaytMFUiU5qPk3nMvfNu18qQcpYkICIiMxJSonDhw9D0zS0tbUZ3Rwioqq0Zs0abNmyBUeOHMGFF16Imhr1pQJYjICIiCiHWCyGRCIBiyXXcmpERJRPS0sLGhsbcebMmbK8HhOdKhaJRIxugikxruowtmowrmrocT116hRaW1s5XK2EYrGY0U0wJcZVDca1tFpaWjA5OQlA/ecXE50qxpsbNRhXdRhbNRhXNfS4Tk5OYt26dcY2xmTi8bjRTTAlxlUNxrW0mpubcfr0aQBMdIiIiAw1MzODhoYGo5tBRGQK9fX1mJ2dLctrMdEhIiLKIZFIlGXSLBHRalBTU1O29cf4zl3F2tvbjW6CKTGu6jC2ajCuasyPK+fnlBZ7yNRgXNVgXEtr/vup6s8vJjpVjDc3ajCu6jC2ajCuajCu6jQ2NhrdBFNiXNVgXNVhokNERERERFQkJjpERERERGQ6THSIiIiIiMh0mOgQEREREZVQKBSqiGOsdkx0iIiIiIhKZGBgoCTH0TQNbre7JMdarZjoEBERERGVgN/vh6ZpsNlsKz6W1WrFzp07MTg4WIKWrU5MdKpYJBIxugmmxLiqw9iqwbiqwbiqE4vFjG6CKTGuahQa12g0Cq/Xi56enpK9ttPpRCAQQDgcLtkxK4nq91kmOlWMH8JqMK7qMLZqMK5qMK7qxONxo5tgSoyrGoXG1e12w+PxlPz1PR4PXC5XyY9bCZjoEBERERFVsGg0iqGhoZIMWVvMarUCYHGC5WCiQ0RERES0AoODg9izZ4+y47tcLni9XmXHNysmOlWsvb3d6CaYEuOqDmOrBuOqBuOqTkNDg9FNMCXGVY1C4ur1euF0OpW1wW6348CBA8qObxTV77NMdKoYP4TVYFzVYWzVYFzVYFzVaWxsNLoJpsS4qpEvrtFoFGNjY+khZipomgaLxWK6ogSq32frlB6diIiIiKhK6OvWhMNh7Nu3D5qmYWBgAKOjo4hGo9A0bUnBgWAwWFCSEwqF4PV6oWkaQqEQPB4PbDYbBgcHMTIygra2NgBAb29vxv1tNhuCwWBJq7qZHRMdIiIioiIMDg5i9+7d0DRN2WtEo1EcOHCAN7VlpM+zsdls6OjowN69e2GxWODxeNL/1g6HY8l8mbGxMXR1deU8digUwv79+9P7BYNB7Nq1Cx6PB1arFT09PXC5XBgcHITT6cyYOFmtVgwPD5fwjM2PQ9eIiIiICqR/468yydGPH41GMTAwoPR16KxAIJCumjY2NoZgMJjugdE5HA4MDg4iGo2mHxsZGcl7PfT39y/oCbJarel1d+x2O4BkL5Ldbs/aO9TW1oaxsbFln99qxESHiIiIqAD6DW65ell6e3sxMjKCwcHBsrzeahaNRuFwOAAkE45oNIq+vr6s28+fKxONRtPDzjIJBoNLKrLppaLnv0YgEEAgEMh6HD35pcIx0SEiIqKq5Ha70dnZiY6ODrhcrrw3geFwGB0dHct6LX1+RblL/Hq9Xng8Hq6hopimaekENhgMAkC6p2W+kZGRJY/l62Wx2+1LKrLpCU2m18jGYrGwR6dITHSIiIio6nR2diIYDGJ4eDg9dKi7uzvnPtFodNlVq3bt2oV9+/Yta9+V8nq9ec+NSicQCEDTtIyLf+pJ0EorrAWDQdhstqKGQI6NjcFisazodVcbJjpVLBKJGN0EU2Jc1WFs1WBc1WBc1YnFYiva3+12p6tWAYDf78fg4GD6JlS3eI6L1WpdcGNZ6ByYgYEB2O12JaveF0Kft5GvrSuNKyUFg8EFPS16XMPhcHoezfzryGKxYHR0tODj68cpdoHRaDSqtIS1EVS/zzLRqWL8EFaDcVWHsVWDcVWDcVUnHo8ve189OdE0LX0z6na7Mw5bGxsbQ39/Pzo6OhAKhdJrkQDJ5GjHjh15h6JFo1G43e6c8zXKwePxZD1P3UriSkn6/Bx9vg5wNq76tbL4muno6Chq7ozf7wewdNia3+/POURxdHRUeRGMcmOiQ0RERJSiT8yff5Oof8O++AbUarVifHwcbrcb3d3dGBgYgNVqhcvlQn9/P/bt25dxzsV8/f39sNlshvXm6Gw2G6xWKwsTKJZtaFo4HMbAwAB6e3uXPGe1WjE0NJT1mJ2dnQuGHurX6eJran7Vt0xWMsdstWKiQ0RERFVDv0mc/4271+vF+Ph41mpoPT09GBkZwWOPPYZgMAhN0zA8PLxkgngmg4ODcLlcpWn8Ci1ev4VKz+fzQdM0+Hy+BY87HA54PJ4li4UCyUQ729yvUCiEUCiUTo78fn/6GPN7b9xud7p0eTahUCjvej20kGkXDBVCOAE4AOh9iRoAj5RyebMQFx538aBK90qPuxzt7e3lfslVgXFVh7FVg3FVg3FVp6GhYVn76XMbgOKqVQ0ODsLj8cDpdKZvSjs7O+HxeHIeJxgMIhqNFvVaKjmdzvT8pEzf/C83rnTW0NAQ7HY7XC4XXC4XNE3Dc889t2C9m8X0IZHhcHhJb4/NZkNvby/a2trgdruxc+dOOJ1OBAIBuN3u9L+jy+XKOf8mGo1ibGzM8J7FUlP9PmvKREcI4QVgkVJ2z3tMAzAshHBJKYPZ9857XCuAbillNPWYLXXcXVLKstZ+5IewGoyrOoytGoyrGoyrOo2NjcvaTx9WpGlaQZOy9YTGYrHA5/OlV7wfGRmB3++Hw+GAzWbLutq8z+eD1WqtmAngejGFbGWulxtXSgqFQun5OTabrajeM5fLhWAwmLFXMVsvUDEJdDAYxO7duwvevlqofp813dC1VI/L7vlJDgCkEhMXAF8q6Sn2uJ7UcR16kpM6bgjAIICHVtZyIiIiyqXYtUcsFkt62JrNZkt/Kw4ke0dGRkZyVr5aXH2rEtjt9pzzQWj5cq2fk4/T6VQ6rNDr9VbMEMpqYrpEB4AHycRjiXk9OUWVThFCWAH0AujPskk/AE0I0VvMcYmIiCi7UCgEIUT6R69W5ff7Mz6+mKZpC75N1ytq6axWK3p7M39062vuLGfydzgcRnd3Nzo7O7Fhw4YlN6jRaDT9fEdHR965GfPt3LmTi4cqoq+fs5wePL3nT8W/jT5c02zD1srBVIlOahiZFcBjOTYbApB5tmJ2+jtUxqs31cMTnrcdERERrZDNZsP4+DjGx8cXVEcLBALpx6WUBRUVAJKJT6HlefVek2JvLsPhMBwOB/bs2YPh4WGMj48jGAyis7MzvU13dzf6+vowPDyM4eFh+P3+gpMd/SZ88ZpBtHLBYHBFk/337dtXVNJaKI/HwyIUy2SqRAeA3teYqzBAGMnel2LSdX3bsRzbhABYlzMsjoiIiDLTk5P5Va30ctLFrimil5suhP56xXy7r8/vCAQCC5Ivj8eDUCgEv98Pl8u1YBL64OAgwuFw1l6pxfT9slX5ouK53e50z93Q0BAcDseyEklN0+ByuQr+tyxEMBhER0dHxcwTqzZmS3R2pn7n+t+vfyVUzFc0+ra5VoPSkyDW/SMiIioxfX5OuW749B4kfYHRQuzduxcejydj5S0geUO9eN5PsT0AenuKWaBysXA4vGDoXyl/VPRoqObxeDAyMgIpJcbHxxEIBJY9N8vpdCIcDpdkCFs4HEYgEMg6vJLyM1vVNQ1IDyXLRn+u8HeuZOJU6DsrU24iIqIS028cyzVPQU8kCu01CoVCCIfDGYfR6ccKh8NLhiDZbLaMj2ejtyffQqe5WK3WdOJYalznBejt7S3J0MJwOJyxYhsVzmyJTjHJSzH93SEkh8Xl2kdPcMo2dC0SibD8qQKMqzqMrRqMqxqMqzqxWKzoUsj6nJn5C4WqpFdnK5TX60VfX+ZaR/OrpC0uP5yttHU+mdpXTFwrrZpcJVvO9VqK+K6GfyPV77NmS3SKSTLaith2P5JV1+zIUpAAZ4esZT2uEKIHqUIIW7ZswcGDB9PPtbe35/yHjkQiiEQiC7bPdXFk2r7Y46/W7TPFtZraX8nb67GtlPaYZftnn322otpjlu0nJycRiUTQ1pb74yIWiyEej6f/3tDQgMbGRjz96otz7lfJLn7m6azPZTvfYraPx+NZ98m0/dTUVLpXZHGPQSnak2n7aDQKTdMK3t7tdsNqtWbc3ufzAUDG3p7ltB8AZmdnMTExsWD7THFVFZ9Sby+EyLoPVSYp5ZLHir0eSvH5lYvI1MhqJYQYAWCVUmb935JKNrwABqSUBQ8kFUL4UsfuzPCcE8AeAE4AbinlQL7jdXV1yZXWwT948CCuvvrqFR2DlmJc1WFs1WBc1dDj+vTTT+Pii4tPWsya6JTCxMQE1q1bV/D2wWAw3ZNTrvuW7u5u+P3+kryefhO/krkfi4/ndDrTCZSu2LhWEiY61Wcl/zf099VSfH4JIYallBnHTJqtR6cYo0VuvxfAQ0KI3vmJTKp6mxVnCyAsf3YgERERLVHuQgSlNL8CVymHIhVTJKEaVPIX79WcQK52Zkt0ogAghNDyFCRIb1uo1PE6hRC98xYGjQIYk1IOCCH0WYRlq/eYr7uOlodxVYexVYNxVWOlcVXdK1LNGhoaitq+3IUIgNIlEnqRgVxr/ejD5AqRq0hCMXENhUJFz0MqRFdXV9Flv1UIhUIrvl70YxR7vRqtlOeumurPL7MlOmEkS0FbkD2R0f/3Let/d45hafrXTCsbj1YE3tyowbiqw9iqwbiqwbiqU+mFCACk11UpJglZLBqNpqtv7dmzJ+M2wWAQPp+v4KprenKit2++QuMaDocXLGBaSr29vYZXChsYGChJ75mmaXC73YafTzGq7dxVv8+abR0dvTcl1zuS/s6w8gLnC3UBCBXQk0REREQFikajWQsRqKQPkytkYc5QKITOzk64XK4Fjx84cCD952zfjrvd7qLWnlnOQqaLWa1WSCmV/BidFPj9fmiaVpLeCKvVip07d2JwcLAELVNvNZ97NmZLdPanfuf6328FEJVSlmyIWWqejoZkkQMiIiIqkfmFe8o5dE1/rUIKB3V3dyMUCi25KfR6vemEJNNQOL/fD6vVWlTSog/j43o1S0WjUXi93iUlvFfC6XQiEAgUlPAaaTWfey6mSnSklCEkh6zl6tu2AygqPRVCWIUQ40KIbF9TuAGEpZTVnfYSERFVGL0QQTmTHCD5jbamaQWtc6MPJ5t/kxkMBuFyudK9PIsTpnA4DLfbjX379hXVrpGRkXTbaCFVQ608Hs+S3rpKs5rPPRdTJTopewHsFkIseQdIlYGOAujPtKMQwieECGTYV0v9LPnKRQhhQ3JtnO6VNpyIiIgW0nswjFg80W63F9Sjs3v3bthstvQ8m3A4nP52vaenB1ardcHwNL1cdiAQKDphGRoaKnvSVw2i0aiy2Og9bvq1WAx9jpZKlXrulcB0iY6U0g/gAIAFX5GkkhcPgO5M82iEEHYk18GxA9i96JghAEEkk6jF+/gAOFLbEBERUQnpN4rlLESg27NnD0KhUHqOUDZerxddXV3o6OiAw+GAx+NJr3Gj9wpZrVZ0dHSgs7MTXq8XgUCg6Hk20WgUoVAoa2GD1WxwcFBpXFwuV8EFI3ThcLgsc5Yq8dwrhakWDJ0v1XvjwNnqaxoAT665OUIIvX961+JkaF6ipL8rWZCssJbzmNmUYsFQIiJSb7kLhtLKhcPhdHUxo+5XhBDw+Xw5y0OXi9/vx969ezE+Pm50UypOR0fHspLHQkWjUezYsaOo2IfDYbhcrvTwS1Uq8dzzKeX7aq4FQ03Xo6OTUvqllC4ppTv148qXkEgpO1M/S766kVJGU8dwpH46CzmmSpFIxKiXNjXGVR3GVg3GVQ3GVZ1YLFbQdvpwGSOTjJ6eHuzfvz//hmXg9Xqxe/furM8XGleziUajGBsbU3ajH4vFoGkaLBZLxU3MV33uAJSeu+r3WbOto7OqRCIRrvOgAOOqDmOrBuOqBuOqTjweX7Lmi9/vh9vthtPpTA/30b8JN3IytMvlQmdn54rW0ykFfU2ekZGRrNtkimu10ecyhcNh7Nu3D5qmYWBgAKOjo+l/g8XDwYLBYEE3+qFQCF6vF5qmIRQKwePxwGazYXBwECMjI2hrawOQXAtoPj2uNpsNwWCwpJXNstGHvenX3M6dO+F0OtPr5OjzcVSfu07Vuat+n2WiQ0RERIbr7k7W9BkcHEzfyB44cABWq9WQQgQ6m80Gp9OJ/v5+Q9eI6e/vTxc2MCt9ronNZkNHRwf27t0Li8Wy4Ibf4XAsmTMyNjaWt9x2KBTC/v370/sFg0Hs2rULHo8HVqsVPT09cLlcGBwchNPpzBhnq9VaUBW+ldIr9vl8vnRCo38RMDAwsGAYp9nOvdSY6BAREVFF0DQtXW5ZLwJQbPllFTweDzo7O9HX12dIr040GsXg4CCef/75sr92OQUCgXSPwdjYGILB4JJ5IQ6HI11KWf+3GBkZyfvv0t/fny4QASRv3PW1Z/Qb+HA4DLvdnjWZbGtrUz50LRQKweFwLEhygOTwze7u7iWV1cx07iow0aliHFKhBuOqDmOrBuOqBuOqTkNDw5LH7HY7HA5Hej7O3r170dPTUxFFAKxWK/r6+rB3794FN4zl0t3dveDGPptMca0W0Wg0XVkvHA4jGo3m7EELh8Ppm/5oNJouWpFJMBhcUpVMn//V19eXfixb0QA9rpqm5a3At1J6MrP4uteTjMW9m6rPXafq3FW/zzLRqWL8EFaDcVWHsVWDcVWDcVUn0zwSn8+HvXv3orOzE0CytHO2+QJG6O3tRXd3N/x+f1mTr8HBwfTwonyqeX6Opmnpc9RLimcasphpjtLY2FjOm/1Mx9Fv7AsZFqnH1WKxpBeH1blcLhw4cCDrvtFoFBs2bMj4nMViWdBzMzg4mF6DabFsZdZVn/v8ti4+91JgokNERESmp2maIb0lxfD5fHA4HLBarWVZtDMUCsHn8ykvT1xp9IVUM8VYv+Ff6VylYDAIm81W1FDEsbExWCyWBY95vd6sa8wUW15aP06pkpNsSnXu1cC05aWJiIiISi0QCMDr9SofwqTPoVhtSQ6QvBHPdEMfDofTc0nm36RbLBaMjo4WfHz9OMUushmNRpUWgwiHw9A0LeNr6MnJYmY5d1WY6BAREREVQS/Tq5KmaVW7Gv1K6PNzFg/RAs72eCyOS0dHR1GJp9/vB7C0d8Tv96fnr2QyOjqq9N89Go1mrKCmF+bIlPyZ5dxVYaJDRERERBUh29C0cDiMgYEB9Pb2LnnOarViaGgo6zE7OzvT5cuBs4nS4h6SQCCQc0hiOBzOOR9mpWw2W8Z5MHp7M/XCmOXcVWGiQ0REREQVwefzZZyv5XA44PF4MlZis9vtWUsfh0IhhEKhdHLk9/vTx5jfg+F2u9OLlWYTCoXyrlmzEn19fUt6Vdxud7rYQaZExCznrgqLERARERFRRRgaGoLdbofL5YLL5YKmaelKZNkm4muaBovFgnA4vKS3x2azobe3F21tbXC73di5cyecTicCgQDcbnc6eXC5XDnnoESjUYyNjSktQuF0OuH1etHd3Z1ui8vlwsDAgOnPXRUmOlUsEomw/KkCjKs6jK0ajKsajKs6sVisqkshV6pqj6s+F8XhcMBmsxU1R8nlciEYDGYsw52tF6jQCmaxWAzBYBC7d+8uuD3L1dPTs+Ac9J6XTHOWdCrPHYDSc1f9Psuha1UsEokY3QRTYlzVYWzVYFzVYFzVicfjRjfBlKo9rrnWz8lH7w1RIR6Pw+v1wuVyFbWf1WrNOyQsn0JiovLcASzr3Aul+n2WiQ4RERERGU5fP2c5ZYytViusVmvOymHL9fzzzwPIPEcmn5Wue6OXF8/12irPXZ//U43D1gAmOkRERERUAYLB4IomvO/bt2/FPSiZ3HHHHYaV+tbnLOWj6tw9Hk9VlzlnolPFOHZcDcZVHcZWDcZVDcZVnYaGBqObYErVGle3250uXTw0NASHw5EeslUMTdPgcrnSa8WUQjAYxIUXXljWxTL1eUr6Gjl6THKdl6pz7+joUHruqt9nhZRS6QtQZl1dXTJX3XMiIqoMTz/9NC6++GKjm0FEBdKrlK10uJVe7S3ThP5KVS3nXsr3VSHEsJQyY1cge3SIiIiIyDR6e3szLrxZrHA4XFVJDrC6zz0TJjpEREREZCorLQJQqmMYYTWf+2JMdIiIiIiIyHSY6BARERERkekw0SEiIiIiItNhokNERERERKbDRKeKRSIRo5tgSoyrOoytGoyrGoyrOrFYzOgmmBLjqgbjqo7q91kmOlWMH8JqMK7qMLZqMK5qMK7qxONxo5tgSoyrGoyrOkx0iIiIiIiIisREh4iIiIiITIeJThVrb283ugmmxLiqw9iqwbiqwbiq09DQYHQTTIlxVYNxVUf1+ywTnSrGD2E1GFd1GFs1GFc1GFd1GhsbjW6CKTGuajCu6qh+n61TenQDCSGcABwAoqmHNAAeKWV4hcftSR1XPyZSxw2u5LhERERERFQ6pkx0hBBeABYpZfe8xzQAw0II13KTEiFEAIA3w3H3CSG6pZSulbadiIiIiIhWznRD11I9ObvnJyMAIKWMAnAB8KWSk2KP6wXgllL6Fx839VrWVG8PEREREREZzHSJDgAPgMFMT8zryelbxnHtUspQntftzvE8ERERERGViakSHSGEDYAVwGM5NhsCUFTPS+q4ljybjaVem4iIiIiIDGaqRAeAPfU7V8GBMABNCFFMUqLvkytBsgPI1eNDRERERERlYrZEZ2fqd65EZyT121boQVPze0IAvEIIz+LnU3N+XADchR6zFCKRSDlfbtVgXNVhbNVgXNVgXNWJxWJGN8GUGFc1GFd1VL/Pmi3R0YB0YpKN/ly+oWiL6fNveoUQI6nhbDoPgO6Vlq4uFj+E1WBc1WFs1WBc1WBc1YnH40Y3wZQYVzUYV3VUv8+arbx0MclLUZXXpJRhIUQHgACSc3GGhRCDAKIsK01EZG5SSgghjG4GEVHVk1KW7bXMlugUk7y0FXvwVLLTCWAYyWSnB0BICGEtpDcnNcenBwC2bNmCgwcPpp9rb2/PuTpsJBJZkPXmW0k20/bFHp/bc3tuXx3bx+PxFb+fcPul209OTuLgwYPYuHEjEokEamtrM24fi8UWfOPb0NCQcyV1bt+QddtqaT+35/bcfvnbJxIJ1NQkB5WV4vMrF1HOrEo1IcQIAKuUMuvXbqlkwwtgQEpZ1JwaIYQdZ+fiaAB8OFtpzSWlzFjWOpOuri45NDRUzMsvEYlE8v4DU/EYV3UYWzUYVzX0uIbDYWzevBlr1641ukmmEYvFct4s0fIwrmowrqU1PT2NF198ER0dHSX5/BJCDEspuzI9Z7Y5OsUYLWbjVILkklJ2SynDUsqQlLIDwEBqE68QorfkrcyBNzZqMK7qMLZqMK5q6HFtaWnBxMSEsY0xGd40qsG4qsG4ltbp06fR3NwMQP3nl9kSnSiQroJW0LaFSBUecEsplywImuoV6kwdz1Nk2WoiIqpwra2tOHXqVFnHlRMRmdXk5CRaWlrK8lpmS3T0eTK5ihLoSdBYEcf1pH4yklKGkEx2AMBZxHGJiKjCNTY2oqamBmNjxXxsEBHRYpOTk4jFYmhqairL65k10cnVo9OR+l3M4p52AMFcG6SKEQzi7Fo+RERkAkIIbN++HdFoFKOjo+zZISJahunpaRw9ehTbtm1LFyNQzWyJzv7U71zDx6xIloQuZs2bQoe5jSD3YqVERFSF6uvrcf755+PkyZMYGRnB8ePHMTU1hbm5OSY+REQZSCkxOzuLiYkJHDlyBC+88ALOO++8svXmACYrLy2lDAkhogAcAPxZNrPjbAGBQgVT++WrquZAjiFuRERUverr67Fjxw7EYjGcOnUKL730EmZmZpBIJIxuGhFRRaqtrUVDQwPWr1+PzZs3Zy3Tr4qpEp2UvQD2CSHcUsoFPTFCCCeSvTP9mXYUQviQHPbWvWjffgAPCSEOLD7mvH3tSPYU5RziRkRE1UsIgTVr1mDNmjXYtGmT0c0hIqIczDZ0DVJKP4ADAPbNfzxVic2DpUmM/rwdyUICdgC7Fx0zhGQCNZxKlhbv24vk2jp7S3QaBZm/YBKVDuOqDmOrBuOqBuOqDmOrBuOqBuOqjurYmi7RAQAppQvAfiGEVwjhEULoVdMc2XpcUo+HUj8HMjzvR7Ky2k4hRCD140v1AoWllI5svT2q8D+eGoyrOoytGoyrGoyrOoytGoyrGoyrOqpja8ahawDSiUm2eTrZ9unM83wUyZ4bIiIiIiKqYKbs0SEiIiIiotWNiU4Va29vN7oJpsS4qsPYqsG4qsG4qsPYqsG4qsG4qqM6toL1/43R1dUlh4aGjG4GEREREVHVEkIMSym7Mj3HHh0iIiIiIjIdJjpERERERGQ6THSIiIiIiMh0mOgQEREREZHpMNEhIiIiIiLTYaJDRERERESmw0SnikUiEaObYEqMqzqMrRqMqxqMqzqMrRqMqxqMqzqqY8tEp4rxP54ajKs6jK0ajKsajKs6jK0ajKsajKs6THSIiIiIiIiKxESHiIiIiIhMh4lOFWtvbze6CabEuKrD2KrBuKrBuKrD2KrBuKrBuKqjOrZCSqn0BSizrq4uOTQ0ZHQziIiIiIiqlhBiWErZlek59ugQEREREZHpMNEhIiIiIiLTYaJDRERERESmw0SHiIiIiIhMh4kOERERERGZDhMdIiIiIiIyHSY6VSwSiRjdBFNiXNVhbNVgXNVgXNVhbNVgXNVgXNVRHVsmOlWM//HUYFzVYWzVYFzVYFzVYWzVYFzVYFzVYaJDC0SjUXR0dKC7u9vophARERERVaw6oxtAxRkcHEQ4HDa6GUREREREFY09OlUmEAgA75vHDQAAIABJREFUAOx2O9rb241tjEkxruowtmowrmowruowtmowrmowruqojq2QUip9Acqsq6tLDg0NFb2fEAIA4PP54HQ6S90sWiaZSEDGYkhMT0PGYpDT00jEYsDcHMSatahpWouatckf0dBgdHOJiIiITEEIMSyl7Mr0HIeuVZFQKJT+s91uN7Alq9PsiROYfvppxCMvYObYMcy8dBSzLx3DzLFjmD1+HEgkCjtQfT3q2tpQv3Ur6rdsQf3WLajfuhUN27ah8dWvRt2GDWpPhIiIiGgVYKJTICHEMIBuKaVhE2SCwSAAwGq1QtM0o5qxKsyOjeHMY0OYfuopTD/9FKaffhpzJ14pzcFnZjB77Bhmjx3D1PDwkqfrt23DmksuwdpLXos1l1yCNZdcgtqWltK8NhEREdEqYdpERwjhBOAAEE09pAHwrCBRsQEYEUKEAeQ7hldK6V/m62Q1f34OlVYiFsNUKITTjzyCyYcfRuypp4s+hmhshFizBjXzfqO2FnJqCompKSTOnEFiagqYm8t5nJkjRzBz5AgmfvrT5AN1dWh6wxvQ/KY3oeXNb0Ljq16VHsJIRERERJmZco6OEMILwCKl7J73mAZgGIBLShks8nhWACNF7NKRL6HKN0cnGo1iQ4FDmLxeL3p6eopoHgHA3ORpTD4UxKkHf4LTv/oV5PR0zu1FUxPWvOpVaLzoItRv3oz6zeehbvNm1G/ejLpzz0VNAXNvpJSQsRhmjx/HzIsvYubo0eTvF48iFg4j9swzkDMzOY9Rt2kTmt/0h2j9oz9G8xVvhKitLeq8iYiIiMwi1xwd0yU6qZ6cfVLKJVmCEMIOwAdgh5QyumTn7Me0I9k71J9rv9R2VinlYL5jFluMIBQKobOzEwAwMjICq9Va8L50ViIex+mf/xwnH3gAkz/7T8hYLPOGtbVY+/rXY+0b/jfWXPwarHnNxWi44ALlSYWMxxF77jlMPfkkpp/8HaZ+8xvEfv/7rNvXnXMOWq+9Fuv/7P9gzatepbRtRERERJVmtRUj8ADImGhIKYOpIT99ANxFHNOK5HC0XEmOhmRvkZKVPOfPz2GSU7xY+HmMf/e7OPnDHyIxMZFxm4YLLkDzlVei+cor0PQHf4DadevK3EpANDRgzWtegzWveQ2wO/nY7IkTmPzlwzj9i59j8uFHkDh5Mr397IkTGPvWtzD2rW+h8dWvhvaO67D+ne80pO1EREREi0kpMReNYm5sDLOjo2d/j45hdmwU5/b1JYf7K2CqREcIYUMyKXksx2ZDAHpQXKKjFTC3xwNgbxHHLEqm+TmRSIS13XOQiQRO//KXGLv3Ppz+xS8ybtN40UVo/dM/Resf/xEatm8HkIzrugpKFOrOOQfaO66D9o7rIGdnMfXbJzDxH/+Bkz/+MeZeOVsgIfbMM3i5/8s48fVvQOvuhuXGG1C/ZYuBLV+K16wajKsajKs6jK0ajKsajGt+MpHAzOHDiD33HOKHD2Pm8BHEjxzGzJEXMXPkSPYRNAA29vSgRtH9iqkSHQB6FpArKQkDsAshrIUWJpBSDuR6PjVcbriY4XDF0nt0HA5H+rFC/uO53W5Eo1F4vd5lv/bg4CBGRkYQCoUwNjYGu92Ovr6+iq38lpieRtT/PYzfey/iL7yw5Pn6bdvQ+va3o/Xtf4I1F1205PlKfkMTdXVosr0BTbY3YNMnP4HTjzyCkz/4ISaCwfSbSOL0aYzdcw/G7r0XrddcA8sHP4i1l15icMuTKjm21YxxVYNxVYexVYNxVYNxXSgxNYXp3/0O0089jdj/PIvp3z+L2P/8D+TU1LKONzs6puyLWbMlOjtTv3MlMHpRAVue7QqSGrLmkFK6VnqsbIpdP8ftdiMcDsNqtcLv98Nmsy37td1uN/bs2bOg2IHD4cCOHTswPDxcUcPoEvE4ogd8GPV6MXvixMInhUDLW98Ky/vei6bLLzdF1TJRV4eWN78ZLW9+M+YmJ3HqgQcx9p3vID6SusTn5nDqwQdx6sEH0XzFFTjnlluw9pLXGttoIiIiqiozR49i6vHHcea/H8fUf/83pp95BpidLeoYNevWoa6tDbVtbaizWFBrsaCuzYLw6Bjqzt2kqOXmS3Q0AMjTs6I/ZynRa3pSP8oUu36Ox3O2OfOTpGL5/X44HI4liVIgEMCGDRvQ3d2N4QzrwJSbjMcR/f7/h1fuvhuzx44teK5m3TpoTic2vOfd6aFpZlTb0oINe3ZD63bi9C9+gdFv34Mzjz6afv70I4/g9COPYN0f/xHO+djH0Lhjh4GtJSIioko1d+oUTj/6KE4/nLx3mDl8uKD9ajduxJqL/hca2ttRv3Ub6rdvQ8P27ajfti3r3OHfHTyI+k1MdApVTPKy4nFXqbLTUL2IaLb1c1R3owYCgaxD3vr6+hb0HBlBJhI49aMf4cTXv4GZF19c8Fzdpk1o6+mB9o7rUNPcXNRxq7l7WtTUoOWqq9By1VWYfuopjH77Hpx64AEgkQAATPzkp5j4jwC0d70LGz/yEdQr/BYlk2qObSVjXNVgXNVhbNVgXNUwe1yllIg98wwmgg/h9C9/iaknnkjfN2TT0NGBtZdeisZXvyq99EZdW1vRr606tmZLdIpJXor/11jKiyKKGgghepAshIAtW7bg4MGD6efa29uz/mPrZajn75NreyA5njQSiWB8fBwzMzN5x5fq289vz4EDBzA0NJSx16alpQUAcO+99+Kqq64quD3zj7+S7ad+9zu8/PkvYOrxxxfsN9faitPXXINNN7wPlgzzbwo5fqZ2lbr95dh+zWteg623DmDjTR9C5EtfQuKXDyefmJtD9MABnPzhD7HxppvQ9sEPQCxaA0hV+/XHKiE+ZtoeQMHvJ+Voj5m21987K6U93J7b59o+037V1P5K3X7+3yuhPSXZPpFAffh5bAqHIX79a8wcOZJ1n0RjI2Z27MCM1QrLGy9H+9vehtr160vSHmDln1+5mGodHSHECJLr2GSdgJFKNrwABqSUxVReW3wcK5IFCApb1XORQtfRmb9+zvj4eNEFABwOBzRNg8/nK7qNeuEDvUdpPr/fj+7ubvh8PjidzqKPvVyz4+M4ccfXED1wAJh37dZqGtr2/gU2vPvdqGlqKlt7qsnUb3+L41+9DWd+9asFjzd0dGDzZz6Npp07s+xJRERE1U5Kieknn8TJf/sBTv3Hv2PuxCuZNxQCay65BM1XXoGWK6/E2te/fskXopVkta2jU6jRFe7vAhAsRUNy0ZMhTdMyJjlut3vBnJxSypTg6B57LFnBeyWFDoohU70Qx+/42oJ1ZFBfj7YPfABtLhdqW4oborbarH3d63D+Pd/G6UcewfFbv4LYM88AAOIjI3jhhhux/p3vxKa//iTqNiwrdyciIqIKNPPSSzj5wx/h5A9+gHg482yLmpYWtFx9NdbteiuaLr/cNPcCZkt0okCyEloBpZ5XWgq6B0D/Co+RV7b5OUCyV6VtGeMhS2FwcBB2u70s83PikQiOfupvMbWosELzm9+Ec/v6OLG+CEIItFx5JZovuwzj3/0uTnzt60icOQMAOPn972PyoYew6W/+Buuv+zNTVKYjIiJajeTMDCYeegjj+/fjzKO/WjAKRlfb1oZ1u3ZhncOO5ssuq+hem+UyW6ITRrJstAXZExm9W2RsuS+SWphUQwnKU+ejV02bv36Orr+/35CqZwMDyWWFVrI2TyFkIoHx+76L47fdBjk9nX68fvt2nNvXh5a3XM2b8WUSdXWwvP/9WHfNNXj5i1/CRCqhnjt5Ei/19WHyZz/DeZ/7rGm+0SEiIloNZo4dQ/SAD+O+AxmHptU0NWHdNddg/Z/9HzTt3AlRW2tAK8vHjIkOkLsoQUfq9/LrLhe2MGlJWK1WhMNhWCwLC8q5XC5lQ9ZyCYfD6O/vx0MPPaS0Nyd+5Ahe+tTf4syvf332wbo6bOzpQZurBzWNjcpeezWpP+88bPvG1zHxn/+Jlz//BcwcPQoAmAgEMPX449jc34+WP7zS4FYSERFRNlJKnPn1Yxi/7z5M/OxnwNzcwg1qatD8xjdi/XV/hnW7dq2qucxmS3T2A+gFYEX2RMYKILrCktBLu1cUcblcCAaDCM8bU+lyueBwOApaPLTU9AIEqubmSCkRPeDDyx4PZGpIFQA0XnQRNvd/CWtfywUvVVj3lreg+bLL8PLAAKL37wcAzJ44gcN/8RfYcOMN2PSJTzC5JCIiqiBybg4TgSBG//mfMf3EE0uer9u0Cdru5Bp79eeea0ALjVdjdANKSUoZQnLIWq5ExA5gcIUvpXdlrHSeT15OpxNerxf79++Hw+GAw+FAd3c3nE7ngvJ65dDd3Q2Px6MswZqbPI2jn/gEjn3602eTnNpatH3IhXa/r2xJTrnjWilqmpqw+TOfwba77kLtvB7E8e/ci4jTidhzz634NVZrbFVjXNVgXNVhbNVgXNWotLgmpqcxfv/9GPnjP8GLH//4kiSn6bLLsPVrX8OFDwVxzkc/UtFJjurYmirRSdkLYLcQYsnwNSGEE8nkJGMRASGETwgRyLTvIsUsTLpiPT09GB4eRiAQQCAQSCca5fyP53a74XK5lCU507//PSJOJ049+JP0Yw0dHWi//1+x6eMfR00ZJ8hV2htaua1761tg/eEP0HLVVenHYv/zHJ7fvQenfvrTFR17tcdWFcZVDcZVHcZWDcZVjUqJa2JqCqP//C08t8uOY5/5LGYOHUo/JxoaoO3ZA+sDP8YF/3IPWq95G0R9vYGtLQwTnSJJKf0ADgDYN//xVPLiAdCdqSKbEMIOwIlkj8/uPC+z4oIG1WRwcDDjULloNAq/37+iY0spEf3e9xDZvQfxeRe7tmcPdnzPj7WXXrqi49Py1G3ciG13/yPO+8ynIdasAQDIM2fw4sdvxsu33go5O2twC4mIiFaHRCyGse98B8853objt96KudGzK6TUrF+Ptps+hAt/9hA2f/YzaOzoyHGk1cdsc3QAAFJKlxDCKYTw4uzwMg2AI9vcHCllUAihz+s5kOclgkguTKp86Fo5RKNRBIPBjAt/BoNBWCyWjD05Q0NDKypIkDhzBsc+93mc/Ld/Sz8mmpqw+bOfwfprr132cak0hBDYcP31WPsGG4785V+mvzka++dvYfp3T2HrbV9FnaWsnZtERESrRiIeR9Tvx+jdXsweP77gubrNm9H2gfdDczpR08x1BLMxZaIDpHt2iupukFJ2Frhd2YoR5NLe3p53m7Gx/J1O3d3dCAaD6O3tXVDJLRQKwePxwOFwpEtKz7d//3489NBDRbVZN/Pyyzh8002IPfV0+rHG/3Uhtn7ta2gsw9o8uRQS19Vkzasuwg6/D0f/uheT//VfAIAzjz6K59/lxLavfx1rL72k4GMxtmowrmowruowtmowrmqUO64ykcCpB3+CE7fdlq6Gqqs791xsvOlD0N75TlOse6M6tkJmWECI1Ovq6pJDQ0NKjj0wMIDHHnsM4XA4vQ6P3W6HpmlwOBzo6elZsn1/fz/sdjt8Pl/68Q0bNiAazd5ppWkaxsfHi27f1BNP4siHP4zZEyfSj62/7jqc9w9/v6pKHlYbmUjglTvvwit33pl+TDQ2YsutA2h929sMbBkREZE5nBkawsuegSUFBmrP2YiNPS5ou7tZBXURIcSwlLIr43NMdIyhMtFZroGBAfT29ip9jVP//h846nafXQC0rg7n/d3fYcP1e5S+LpXOxH/+J472upGYmEg+IATO7fsbWG680diGERERVanY88/jxG23YSIQXPB47YYNaOvpwYZ3X4+a1JxZWihXomPaoWtUWaSUGPUO4sQdd6Qfq2ltxbav3YHmN77RwJZRsda95S3Y4TuAQy4XZl44BEiJl7/Uj5kXX8QmtxuixnQ1ToiIiJSYm5zEK9+8E2P33QfMK/QjGhpgef+NaOvpQe26dQa2sLox0SEAQDgchqblq6q9PDIex0t//w84+YMfpB+rv+B8bP/Hu9Fo3aHkNUmthvZ2tN9/P47c9GFMPf44AGDsX76DmaMvYcutA/zWiYiIKAcpJU498CCOezwLhvIDQOu112LTx/8K9Vu3GtQ68+BXrwQA8Hq9S+bulEJiagqHP/LRBUlO0x/8Adrvv59JTpWr27AB59/zbaxznK3NMREI4NAHPojZZczdIiIiWg1izz2HQx/4II5+8pMLkpy1XZ1o9x3A1lsHmOSUCBMdQjAYhMNR+kJycydP4tD/8+c4/YtfpB9b73wXzv+nfajbsKHkr0flV7NmDbbecTss739/+rGpxx/HCzfcgJlFpTCJiIhWs8TUFI5/5SsIX/cOnPnVr9KP156zEVtuvRUX3Hsv1w8sMRYjMEglFiMopZnjx3H4L/Yi9uyz6cc2fvgmbPzLv4QQwsCWkSpj3/kOXu7/MpB6T6m/4Hxc8O1vo37LFoNbRkREZKzTjz6Kl/7+HzBz+PDZB2trYXnfe7Hxox/lPJwVyFWMgD06BhkeHkZrays+/OEPY2RkZFnHiEQipW1UicQPH8YL733fgiTn3E/14ZyPfawqkpxKjWuls9x4I7Z+9StAbS0AYOaFQ4i87304/etf41h/P5694ko8/brX49krrsSx/n7EjxwxuMXmwWtWDcZVHcZWDcZVjULiGj9yJP1Z98zr/3f6s27qmWfw0t//PQ594IMLkpy1nZ3Y8f3v4dy+vlWd5Ki+ZpnoGGhiYgL/9E//hNe97nX4yU9+UvT+lfiGNv3ss3jhPe89+5+5thabv9xfVaWHKzGu1aL1T/4E277+NYj6egDA7NGXcOj9H8D4/gNITE0hIQQSU1OI+vx4/l3vwuTDDxvcYnPgNasG46oOY6sG46pGvrhOPvwwnn/XuxD1+ZGYmgJqa5GYmsL4v96PyDveiajv7Pr1NevWYfMXPo8L7rsXa171KsUtr3xMdExuZmYGZ86cgdPpXHbPTqWYfvZZHHr/B9IT60RDA7Z94+vQrrvO4JZROa3btQvb7rrr7IrNUgLT08nfQkDU1EAIARmL48VbbmHPDhERVa34kSN48ZZbIGNxiNRnHJCsOIt4PD2cGwDWOeywPvBjaE5nVYxwMQMmOhViZmYGt99+u9HNWDa9gshcqtpWTXMztv/TPqx761sNbhkZoeVNf4jmt1y94DE5PQ0kEum/i9payPgMxu77bplbR0REVBpj994LOTMLkRq2LWdnIaemgLm5Bds1X301tn3jG6jftMmIZq5aXEenQszMzODuu+/Gk08+mX7s4MGDGbe9+uqrAQDT09NYk2W9knz75lLsvufOzuLmsXGsT93E1jQ34/xv/TPWvv71Sl9X1b7t7e2GvK7Z9vUcP45GAA0A9O+tauJxyNraBYuKvvCdf8H1P809dLMaztfIfee/F1RLm6th30p5jzXjvu3t7VXX5mrYV//8Kvfrmn3fXO+xp370Y0BKnD5zBvVYemM9m/o59fP/wvlZ2lNp51vOfbO9z67kdedjj04FmVuU/eeT7QO4nJYkOU1N2L5v34Ikp9pk+qCg4q1JSCQAxADMr+0op6ch9Z4dIbAmwcqPK1UJ7wVmxLiqw/dZNRhXNXK9FyROn4ZMJNCIhUmORPLzb0YISICfdVmofp9leWmDCCGWBL61tRUnT540ojnLEo9E8MINN56dk9PUhPP3DaKps9PgllElePaKK5GYmoKoqYGcm0v+WR+TLARE6s2tpqkJFz38SwNbSkREVDw5N4ffd+1MDlWbZ1ZK1Dc3pz/zZCLBzzqFWF66CtTX1+OGG24wuhkFix85ghfmFx5Yuxbne+9mkkNprdf+KZB6kxe1tZhOJJD+YkXKZM+OlGi99loDW0lERFS8mZeP49Cf/8WSJGc6kcB0IrGk2AA/64zBRKdC1NfX4+abbza6GQWZHR3FoT//c8y+/DIAQKxZg+13342mnTsNbhlVEssNN0DU10GmhmTOIfkBkCYlEI9j/bV/akwDiYiIlmHy5z/H89ddhzOPPnr2QSEg1q7F7KKRUnJuDqKhHpb3vbfMrSSAiY7h6uvr0dTUBL/fj46ODqObk9fc5Gkc7nFh5oVDAJIlpLff/Y9ovuwPDG4ZVZqGbduw9bbbIBobIBMJCCSTHehlpwEgkcCxT38GidOnDWolERFRYWQ8jpc9Azjc40pXmYUQaL32TyHWtST/qm+bSCQ/+xobsPW229CwbZsxjV7lOEfHIEII2draihtuuAE333xzVSQ5iXgch10unPn/U99g1NRg69fuQKvDYWzDqKLFjxzB2H3fxakf/QiJyUnUtLRgzWtfi9O/+EV6fYHmN78J2++8M73QKBERUSWZOXoURz5+M6Z/+9v0Y3WbNmHLwACaL78s42dd67XXwvK+9zLJUSzXHB0mOgbp6uqSQ0NDRjejYHJuDi9+4pOY+OlP04+d97nPYsPu3Qa2iqrZ+P37cewzn0n/ff273onNX/gCF1EjIqKKMvmLX+LoX/815qLR9GPNV70ZW/r7UWexGNgyAnInOlxHp4pFIpGylJKUUuLlL35xQZJzzsf/yrRJTrniuhrNj+2G6/dg5thLGL3bCwA4+b3vo/68zTjnLz9qYAurE69ZNRhXdRhbNRjXpebm5vDKK6/g9OnTmJycTP/M//v8P09MTOCpp57CqVOn8OADD6DhBz/AK9+8Mz0CAXV12PSJT8Dygffzi7kSUH3NMtGpYuV6Q3vlH/8R4//vv6b/vuF970Oby6X8dY3CDwp1Fsf2nL/6K8weexkn/+3fAACv3Hkn6s7dtCCJ/sY3vgEpJa644gq0t7ejra2NHy6L8JpVg3FVh7FVg3FdKJFI4A1veAOeeOKJZe1/z/XX452vjKb/XrdpE7becTuabLZSNXHVY6JDhjr5ox/jla9/I/331re/Hed+qo83mlQSQghs/vznMPvKKzj9y+T6Asc++znUnXMO1r3lLXjuuefwsY99bME+LS0taG9vx44dO9De3r7gzzt27ICmaUacChERVRghBLZv346XXnoJLS0t6Z/m5uYFf5+ZmcEjjzyCZ555Jr2vtakJ1514Jb1MQtNll2HrV7+Cuo0bjTodWgYmOpTVmdB/46W//dv035uveCO29H8JoobF+qh0RH09tt5xBw7deCOmn3oKmJvDizffggvuvRc7XnMxzj33XLycKmVeU1ODyclJPPnkk3jyySczHm/9+vVob2/H1Vdfjdtvv51JORHRKiWEwAMPPJD1+bGxMXz+85/Ht771LczMzKChoQHxeBzNNTXwnncealKfH6evuQav/upXIOp421xteMdaxVR29cWPvIgjH/0oZDwOAGjo6MDWO+6AmF8a2KTY7a9OttjWtjRju/du1Kcq08jpaRz5yEeQeGUUfr8fQPIDK5FIoK6uDh/60Idw//334ytf+Qo++tGP4u1vfzte+9rXoqmpCSdPnsRvfvMb3H333ZiYmCjXqRmK16wajKs6jK0ajGth4vE4br/9dlx44YW44447MDs7i+7ubjSmvsj9m3M2YWt9A2paWrDtzm9i480fZ5KjiOprllXXDFLJVdfmJibwwnveg9j/PAcAqN2wAe0H9qNh+3aDW0ZmFws/j8j11yNx6hQAYM2ll+KCe7+D62+8ET6fDxdddBGeffZZAIDNZsM999yDSy+9NL2/lBKjo6N4/vnnYbFYqqJsOxERlYeUEt///vfhdrsxMjICANi1axe+/OlP45PveQ/+68gRXNXcjLu2bkOj1Yptd92Jxh07DG415ZOr6hp7dGgBOTuLF2/5RDrJEfX12HbnN5nk0IoJIfIOI2u07sC2O24HamsBANNPPIGXPvUpfPnLX0ZjYyOeffZZfPOb30R7eztCoRA6OzvxxS9+EbOzs+nX2LhxI3bu3Mkkh4iI0n71q1/hTW96E5xOJ0ZGRnDxxRfjxz/+MX7s9eLfP/Qh/NeRI2itqcHnztuMdVdfjfYD+5eV5BTyWUflw0SHFni5/8vJhRxTNn/xC6wuQmXVfMUVOPdTfem/n3rwJ1j3k5/glltuAQDcd999+M1vfoObbroJMzMz+Lu/+ztcfvnlWefsEBHR6hWJRPDud78bl19+OR5++GGcc845uOuuu/Db3/4WV2kaHr7uHfjS08kiBP9w7nl49Uc+gm133Ynadf+XvTuPj6K8Hzj+eRKSQIBc3GdC0Hq0VQyxWqs/ryBaba2SgCd4AEEFQUUCcnhxJWi90QAKHrRAYj1b0YRqLy+SqFW0HgkhEMKdhCMn2ef3x+4OCSSbbLKzs7v5vl+vfYWZnZ358t2Z3fnuPPM8PS2OXHiCFDrCUL5uPeVr1xrTve6YQuTvf29hRKKzirnxRqKuv86Y3vfMs9yVmEi/fv349NNP+etf/8ry5cvJzc0lNjaW/Px8Ro4cyeLFi42rO0IIITqvyspK0tLSOPXUU1m3bh1hYWHMnj2bn376iTvuuINDf/kL2yZNZk7hT1RpG5dHRjFx5Qr63jMD5WhVIPyfFDoCgOovv2TXokXGdM8rLqfPtGkWRiQ6u/4PPED4r881pg898igP3XUXAGlpaVRVVXHppZfy9ddfk5qaSl1dHXPnzuXXv/41W7ZssSpsIYQQFqqvr+e5557jpJNOIiMjg9raWm644Qa+//57lixZQs8ePdi9bBm7FjzIa/v2sbm6mt4hIaz867tEXnml1eELDwvYQkcplayUylRKpTsemUqpeA+tO96xvnylVI7jMcsT67bC0X372HH3dKivByDstNMYuFi6kRbWUiEhDH7iCUJihwL2ntguyt3EiDPOYPv27Tz++OMA9OzZkxdeeIGcnByGDh1KXl4eCQkJLFmyRK7uCCFEJ6G15p133uGMM85g6tSp7Nu3j/PPP5/PPvuMtWvXEhsbi626mtLpMzjw4ksU1dbyxL69AGSuWsXg3/zG4v+BMENA9rqmlMrGoz5uAAAgAElEQVQEYrTWKY3mRQH5QKrWOrcD654MpAEpWuuCRvOTgFFa67S2rMdXel3T9fWU3HobVY5YgiMjiXs9m1BHN79CeIrz5kx3P3Nqi7ZSPG4cNkdX0f+Ni+O69zcSHh7ODz/8wKBBg4xlDx48yMyZM1m5ciUAZ599NmvWrOH000/30P9CCCGEr/niiy+47777+PDDDwE46aSTSE9P55prrjG+e47u3cv2O++i5uuvadCaG0q28XVNDRNuuok1r77qsVja+10n2q9T9bqmlEoGxjYucgC01hVAKpDlKHras+7JQDow8rgiJwrIASa3O/B2KC4u7vA69jz2mFHkoBQDH3+80xc5nsir8Jyw+GEMXJZhTJ9RXMyVv/gFVVVVzG00oC1AREQEK1as4P3332fIkCFs3ryZhIQE0tPTA/rqjuyz5pC8mkdya47OltfS0lJuueUWRo4cyYcffkh0dDRPPvkkW7Zs4dprrzWKjpoffmDruHHUfP01AHuOHuXrmhqGDBnCU88+2+p2Oltevcns3AZcoYO9EFnR3BONruTMae55VxzN3jKBSY6iqfF6K4AiwKuXaDq6c1S+8y4HXn7FmO4zYwY9zpdLt/KB5nt6XnQRvR335wBMO1JFaEgIL7/8Ml988cUJy1922WV8/fXXTJw4kdraWmbPns3555/P//73P2+G7TWyz5pD8moeya05OkteDx8+zIIFCzj55JN5+eWX6dKlC/feey+FhYVMnz6d0EaDmx/+17/Zdv0NHN1ZZp8RHMxZCx9l48aN/Oc//yEyMrLV7XWWvFpBCh03KKUSgHhgs4vF8mjflZdMoEJrnd3ck1rr4VrrUe1YryVqvv+esvnzjemeo5LoNXmShREJ4Vrvu+6k+4X/B8DQ0FBui+kFwI8//tjs8pGRkaxcuZKNGzcyePBgPvvsM0aMGMGyZctoaGjwWtxCCCE8o6GhgVWrVnHyySfz6KOPUl1dzZgxY/juu+94/PHHiY6ObrJ8xeuvs33KFGxHjgAQ1L07Q154nujrr2f06NEMkTECA15AFTpAkuNvkYtlioAodzomcDRNSwI2dCA2n9Fw6BA7pt2NrqkBIDQ+ngFLlsgAV8KnqaAgBmVkEOL4YpoWGcnfzr+Aa6/4rcvXjR49mm+++Ybbb7+d2tpaZs2aFdBXd4QQIhB98MEHnHXWWUyaNIldu3Zxzjnn8O9//5vs7OwTBojWWrPvhRcomzsPHD9sdRkwgNg//YkeF1xgRfjCIoFW6Jzt+Ouq0Cl0/HVnFMyxjr/5bkdkori4OLdfo7WmbMEC6ktKAPuvG4OffYbgHj08HJ3/ak9ehXcER0Yy+JmnUV27opQibu9eds2b1+pNn5GRkaxatYq//e1vDBo0iE8//ZQRI0bw2GOPBcTVHdlnzSF5NY/k1hyBmNdvvvmGK664gtGjR/P1118TGxvLn//8Zz755BN+00xPabqhgd0LF7H3yaeMeWGnn0bc+nV0PeVn7YohEPPqK8zObaAVOlFg3DPTEudzMW6s19kkrUgpFaWUmtXoke7occ3r2rNzVGzI4tB7G43pAQsfJSzeI71uBwz5QPNtXU89lQGPPGxMH3r/fQ68/HKbXnvFFVfwzTffcNttt1FbW8v999/PBRdcwPfff29WuF4h+6w5JK/mkdyaI5DyumvXLiZPnsyZZ57Jxo0biYiIYOnSpfzvf//juuuua7YViq2ujtL7ZjYZ/Dz81+cS+8orhPTt2+5YAimvvsbs3HYxde3e507x4k7Pa85K4AAw5/gupB3j6LTatbSj17bJAAMHDuSjjz4ynouLi3P5ZhcXFze5Yas9y/evrWX34sXGvKhx44i44gqPrV+Wl+VdLd/4qkuH13/GGUTfeKPxZbbn8T8SnpBAtzPOaHX9UVFRvPjii4wZM4ZJkybxySefcOaZZ3LbbbcxZswYgoOD/SKfsrwsL8vL8oG4fFVVFU888QRLly7l8OHDBAcH84c//IEJEyYQFRXFrl27ml1/w6FD7Jg6jarPPjPm1SSOpOucOS5brXg6/uNbGFidz86wvCsBNY6OUqoQiNdan1jmH1tmMvaOBTLaOuaNc73Ye3NLO/6KkeMennLsY+s021nB8bw9jo7tyBG2poylrsjeqi/sZz8jbsN6grp29VoMQniSrquj+MabjO5CQwYNYtgbfyE4IqLN66ioqOCee+5hzZo1AJx33nmsXr2an/2sfc0bhBBCtI/NZmPt2rU88MAD7NixA4Df/e53ZGRkcOqpp7p8bf2ePWyfnEpto3svo8ffTL/Zs2Xw806gU42jY7bmmsU55hVg79raJ+16dKFR5Khu3Rj05BNS5Ai/pkJDGfTEHwnq2ROA+tJSyubOdWuQtqioKFavXs27777LwIED+fjjjznzzDN54oknAuLeHSGE8AcfffQRZ599NuPHj2fHjh2cddZZbNq0ibfffrvVIqeuuJht19/QpMjpc9+99JszR4oc0akLnf1uLOssbnJcLJMHxDu6uPYpFW+8SeWbbxrT/RcskPtyREAIHTyYAYsWGtOHcnIpf22ti1c078orr+Sbb75hwoQJ1NTUcO+993LhhRe22HW1EEKIjvv++++5+uqrufjiiykoKGDQoEGsWbOGvLw8LrnkklZfX/31NxTfcCP1paX2GcHBDFi8mN6TJklPsgIIvEKnAoymZG1ato0OOP666s3NuT6fqiBqi4rY9cgjxnTk1VcTdc0fLIxICM+KuOwyom+80Zjek5FB9Tdb3F5PdHQ0a9as4Z133mHAgAH85z//4cwzz+Spp57CZrN5MmQhhOjU9u3bx7Rp0/jFL37B22+/Tffu3XnkkUf44YcfmDBhAkFtuBJz5PPPKbnlFhoO2E/RVNeuDH7uWaKuvcbs8IUfCbRCx1mIuOqUwFkEHXCxTEvrbQufKXR0XR2lM2eiq6sBCB02jP4L5rfyKiH8T9+0WXQ9/XQAdH09pffcQ8OhQ+1a11VXXcWWLVu4+eabqa6uZsaMGVx00UX89NNPngxZCCE6nZqaGpYtW8ZJJ53Es88+i81mY+LEifz444/Mnz+f8PDwNq3n8D/+wfZJk42BQIMjI4lds5qeF11kYvTCHwVqoePqio5zVKkCN9brHD+nLUWMO0VRhzTudaI5e599jtpvvwNAhYTY72fo3t0Lkfm31vIq2s+s3AY579dx7N/127dTNn+BW/frNBYdHc0rr7zC22+/Tf/+/fnXv/7FGWecwdNPP+2TV3dknzWH5NU8kltz+GpetdasX7+e0047jVmzZlFZWclll13Gl19+ycqVKxkwYECb13XwvffYftdUdG0tAF369CH2tVfpNmKEWeH7bF4Dgdm5DbRCZ73jr6uCJB6o0Fq7U5DkOv6e7WIZZ3HlTgHVIa52jqr8fPavWmVM97n3Xrq2ckOfsJMPNPOYmdvQ2FgGLHzUmD60cSOVf/lLh9b5u9/9ji1btnDTTTdRXV3N9OnTufjiiyksLGz9xV4k+6w5JK/mkdyawxfz+vHHH3Peeedx3XXXUVxczM9//nPee+893n//fX75y1+6ta6K11+n9L6ZcPQoYO9tM3bta4SdfLIZoRt8Ma+BQgodN2itC7DfKzPKxWJJ2LuJdme9RdgLGFcDgyYBRW4WUKZoOHyYnbPSwPHLc/i55xIzYbzFUYnOTinFxRdfbOo2Iq64gqhx44zpXYsWU9fBD9GYmBheffVV3nzzTfr168c///lPzjjjDJ555hmfvLrjTbm5ua0vZKKCggKKiiz/yBXCJSuPEyuPkaKiIsaOHctvfvMbPv30U/r168eKFSv48ssvufzyy91e34GXX6Zs7jzj3CY0Pp7YP60ldOhQT4feIUop6QjBhwRUoeMwCRjbXIcESqlk7IXQkuZeqJTKcgz+2VzTtzQgQSl1QrHjmBcPpHQocg/ZvWix0QNJUEQEA5csli4WRafRb3YaoY5eBXVVFaX3z0LX13d4vVdffTVbtmzhhhtuoKqqirvvvptLLrnE70+023MSVlFRQUpKComJzQ5b4DUJCQmkpaX5/XsgfFt7CxVfOE6sOEbKy8uZOXMmp512GllZWXTr1o158+bx448/MmnSJLp0cW+seq01e597jt1Llhrzwk4/jdjXXiWkXz9Phy8CjdY64B7YBwTNOm5eFFAIJLXwmiRAOx6TW1hmlmMdUY3mJWAfLLTZ17T0GDlypO6orVu3njCvcuP7+ttTTjUeFe++2+HtdDbN5VV0nPP48obqLVv0t7/4pXEc7H78jx5d/xtvvKH79u2rAd29e3f97LPP6oaGBo9uwx2N99nCwkKdnJysk5OTdVJSks7MzHT5WkCXl5e7tb2kpCRdWFjYnlBNkZCQ4Pb/oS3ks8A8VubWG8eI1tYcJy3l1axjpLHa2lr95JNP6piYGOPzfvz48Xr79u3tXqfNZtO7lixtcl6z9fob9NHKSg9G3jp39ldvftcFAk98FgB5uqWaoKUn/P0BJDsKnnTHIxOIb+U1+Y5HlItlkoAs7GPq5Dj+neBufJ4odI5Xt2u3/v5X5xgfBjvum+nxbQjRXt7+8N/34kvHvhxPPU0f/vQzz65/3z59/fXXG/+viy66SBcVFXl0G+4qLy/X8fHxOj09XWutdU5Ojo6KitL5+flNlml8whMVFdXic82ZNWtWqyeG3pafn6+TkpKsDkP4AW8cI1r73nFi5jFis9n0G2+8oU8++eQmn4eNc9qu9TY06J3z5jcpcrbdeptuOHLEQ5GbQwod77Ok0AEigBHAtY7HRMfDOT0CiDBr+77+8HShY7PZ9LbbJxofBj9cdLHXf/EQwhVvf/jbGhr0tltvPXZMXHiRPlpR4fHtvP76602u7jz33HOWXd1JTk42clxeXm7kPCsry1gmMzOzybyEhASt9bETPucJYHMKCwuN5X1NcnJyk/9noEhKSpIizoPMPka09t3jxIxjZPPmzfr//u//jDz+7Gc/02+99Za22WwdWq/t6FFdOiutSZGzfepU3VBb66HIzSOFjvd5pdABLsF+78tmoKGZh83xaO65zcBi4GJPxePrD08XOgfWr2/66/Unn3p0/UJ0lBUf/nW7duvvzzn32Bfl9Bkd/gJuzt69e/W4ceOM/2NSUpKuqanx+HZcKSwsNLattf0kLioqqtmTZOevu7NmzdLJyck6PT1dJyQk6JycHJfbSEpK8tliorCwsMkv74EgPz9fAz550uyPvHGMaO27x4knj5Gqqip98803G595vXr10s8884yuq6vr8Lpt9fV6x30zmxQ5pbNmaVt9vQciN58UOt7nqtDp0B3qSqkRSqnnlVINjmZcadjHqdkErASWAbOBKdhv1E9x/Hu247mVjmWHO+ZtUko1KKXWKaXM7Z4pgNTv3Mme9AxjOmbCBLqfe46FEQnhG0L69WXAooXG9KGNG6l8402Pb6d3796sW7eO7Oxs+vTpQ25uLt9++63Ht+NKdnY2AKNG2TudjIqKory8nJycnBOWTUhIICcnh169epGdnc3+/fvJz88nKanljiULCgrIy8sjOTnZnP9AB8XHx5OYmMiKFW51qunTnDfBu3pfRNuZfYyAbx8nnjxGNm7cyKuvvkpoaCj3338/P/30E1OnTiUkJKRD69X19eycNYuD775rzItMHsOAJUtQbnZiIAS0s9c1pdS1SqkfsXe5PAp70XKZ1jpIax2jtb5Maz1Faz1ba71Ma71Sa/2647HSMW+2Y5nLHK8JAi4DHgNOwl707FdKXeOp/2wg0lpTNm++MTpwaFwcfWZMtzgqIXxHz0svbdLl9O5Fi4xeCT1tzJgxfP/99+Tn53PWWWeZso2WOE/WEhISWl22oKCAUaNGUVhYaJyQjRw50mXvUpmZmUyePNkzwZokNTWVzMxMq8PwmPXr7UPDOU/MRceYfYyA7x8nnjpGrrrqKl577TX+97//kZGRQVSUq3Ha20bX1VF630wO/u09Y17UdeMY8Mgj0nOsaL+WLvU098B+X00ecABYCgxz5/VubiseeycCB7A3bTvTrG1Z8fBU07UDGzY0abJ2JL/AI+sVwtOw8HJ+Q1WV/umy0caxUjx+grZZ2EuaGdqa3/befwB0+OZisznvufClHuE6wspjJhCZfYw4t+HLx4mvHiMNtbW65M67mjRXK3vkUVOaGptNjlvvwxNN15RS9wN/B9Zp+xWY2VrrrR2qslzQWhdprdO01jHYezb7UCl1n1nb80f1O3eyZ2m6MR0zYQLhCd79FVkIfxDUrRsD05eC41fBqs8+o/y1tRZH5TkFBQVA236pHjt2bJNfqZ3jayQlJbF169Zmf412/ordlvVbKSoqioSEBKOJkj/zl5z7C7OPEfCP98wXjxFbbS2l0+7m8KZNxryYCRPoN2+uDLwpOqxNhY5SagP2bpWHaa0fMzekE2mtM7Bf4TlHKfW+t7fvi7TWFN0/61iTtdhY+ky/2+KoAkNxcbHVIQgTdBsxgl4TJxrTex5/nNoi036rMV1BQQHR0dFER0czcuTIE+YNHz682ddFRUUR7xhQFeyDGlZUVBjPNdcEJScnx62Tt6KiIlJSUkhJSWHkyJGkpaU12V7j5zx9wpWYmNjsPRft4c3PgqKiIuO9i46ONpqrNX5Po6OjjffK33kjt948RsA3jpO25NWTx0hH2Wpq2HHXVA7/4x/GvF4Tb6fv7DSfKnLkvMA8pue2pUs9zgewAbi/teW89QAmA+9bHUdHHx1tulaelXVckzXfvVTubz788EOrQwhI+MDl/IbaWl34+6uNY6coZazf9OTjyoUXXqiBdo3b0ZbeoZKSkvTkyZPbtL7CwsITBkqMj4/Xs2bN0uXl5TopKckYhyQrK8vjzWgyMzM91rOUlZ8FCQkJGmhTL1/+yNu5dXYrbdYxorVvHCdtyasnj5GOaKiqajIEwLennKp3P/GETzZXc2d/9YXvOn/iic8CXDRdc9mFhVJqKZCptd7kajlv0lqvUErlKaWWaK3nWB2PFerLytjduMna+PGE+/ClciHA/qPKRx99ZGkMQaGhDMxIZ2tyCtTXU/Pf/7J/5Up633GHpXF11I8//gjYf6l1V1t6hyoqKmrzDfEpKSls2rSpya/eSUlJZGRkUFRURFpaGlFRUcav2c71N/4FvSPi4+ONX+Dbc4N04ysmhw8f7tAVlI7coO1sauVPPa65k6vWcuuJm9sbc+bTrGME/Oc46egx4gm2I0fYfsedVH3+uTGv99Sp9L7rTp+6ktMe9vNu4StcFjpa69neCsQdWusC7D2+dTpaa8oWPIjt8GHA0WRNelkTos26nnIKfaZNY+8f/wjA3ueW0+PCC+l6+ukWR9Z+O3fuBMy7N6CoqKhNJ0QZGRmkpqaesKxzuqioyDhxj4mJISoqisTERI+ezDtPBIuKitzOR3Z2tnFS6Qn5+fntek/84V6P4/lK7lrivM/GzJz6y3HSkWPEExoOH2F7airV+fnGvD4zptN7yhSvxyICn3RK7mca9u+nfvt2+4RSDFi8iKBu3awNKsDExcVZHULA8pXc9rr9Ng7//e9Uf/klHD3KzrTZxL2eTVBoqNWhuc35S7Wnrogcz/mre0xMTKvLrl+/nvxGJy9OzhhTU1ONec4xTFzJzc0lLS2t2XW25sCBA26/Jjk5ucmvscXFxZbss877J9p6YtvePBUVFRldDTsLgfT09HbtS8fnrjXezK3ZxwhYc5w09/5NmzatzTG35xjpqIbDh9k+cZL9s9eh78z7mtw/6Yt85bsrEJmdWyl0/EyX3r0Z9uYb7H3qadCacMcNlsJz5APNPL6SWxUczMClSyi65lp0dTW1P/7Ivqefpu/MmVaH5ra8vDzA/F//2/JL9aZNzbdydl6hGDt2bJu25TzRO3DggHEC11bOE01P3LRv1f7qzFdrzaA6kqeioiJyc3NJTz/WDDo7O5vhw4eTk5NjepM5b+bWW8cIeO84aen9u/DCC1t9/zx5jLjDduQI21OnNC1y0tLodestXo2jPXzluysQmZ1bU0ZgUkpFOAYVvdaM9Xd2QV270i9tFn3TZlkdihB+KzQujr4zj/VYv//Fl6gq8L8Wsc5fhs8++2xT1u/Or77NneQ1bobV1vsBMjMzyczMZFyjgV47k7ben9ORPDU3sGVycjLJyckebYLmC8w+RsD7x4m/vX+26mq233Fnk+Zq/R54wC+KHOHfPF7oKKWGAcXYx77JUkqt8/Q2hJ2/37AnhNWir7+e7uf92j6hNTtnzzG6bPcXzl+rzfoFvi1NcVxxNsPydtFi1U3WHeU84TX7ikp2dnazXRaPGzeOiooKt68Q+TKzjxHw/nHiiffPW8eIvQvpu5p0PNB3dhox42/2yvZF52bGFZ0XgBWAcjyavfaulLpUKfWTDAIqhLCKCgpiwKJFBPXsCUB9SQm7ly2zOCr3uDMQYns4T4ba28zFeTLW1p6rOsr5y3p7Tjyzs7NRSnnsUdCOK4TOE9629t7VEZ4sZnwhdy0x+xgBa46T9r5/HTlG3GWrrWXHtLs58vEnxry+M++j1y23mL5tIcCce3TitdajlVJ5wGxgfXMLaa03KaVGAnOUUj8CyVrrr0yIRwghWhQyYAD95j5A2Wx7b/UV69YTcfnldD/3XIsja53zRMfMm6zBfhLXnhuXi4qKjJ6omosxJSWl3Te/t8R5otneG+pb6yDBHe35xbylKzrOG88b35PREYWFhc3O37x5M+B+/nwhd83x1jEC3j1OOvL+deQYcYeuq6N0+gyO/Otfxrw+0+/2+Y4HRGAxo9CpBNBaZwMuh/LVWlcCs5VSK4ANSqnbpdgRIjA5m1r64hgDkVdfzaGcXA47bhIumzuP+LffIqh7d4sjc80bv1SD/YSopRMrp4yMDJYsWUJWVpZxku48KW9u7BKzTracJ7btPVG2uslbS+9penq6x4ocV1asWMGsWe27/9Pq3DXHW8cI+MZx0pb3r6PHSFvo+npK77uPw43GTut9551+P2ZZW/jyd11nZEbTtTyl1MXuvEBrXQQkAdlKqVgTYhJCiBYppej/4AKCIiMBqC8tZc8fn7A4qtZ5q5lTYmJiq02J0tLSTrg3wDnAYXNNbJy/Unva5s2b/Wr8meYcf1Lr7A3N7EIiIyOD+Ph4rxRU3uLNpoBWHydtff/MPkb00aOU3j+LQzm5xrxekybRe9pU07YpREs8XuhoracAy5RS17j5ugrgDiDD0zEFquLiYqtDCEiS184ppG9f+s05NkZy+dq1VDmagfgq503WAwcONHU7o0aNMrbVkqioKJKTk42eoNLS0oymVs6mOU6pqamkpaWZ0nSm8WCLHWXFZ0FSUlKT5k+5ubls3ry53VdZ2srZNK6lro89zVu5de63zV0t8TQrjxPn+7d69eo2LWtWxwy6oYGds+dwaONGY17MrbfS5957/LoDJTkvMI/ZuTWle2nsV2euV0q9707Bo7XOBcxvSBsg5MAzh+S184q8+mq6X/h/xvTOufOwVVdbGJFrzl+Pe/ToYep2kpKSWu3JadOmTVRUVJCSkkJKSgrjxo0jPj6e5ORkMjMzjfkpKSmkpqaadqKVm5vrsV/vrfgscDZpcuaqoKDAK1dYUlNTycnJ8VrzM2/l1ptN16w8TpzvX1vuEfLkMdKYbmig7IG5HHz3XWNe9M0303fW/X5d5ICcF5jJ7NyaMmCo1rpCKZUJZGJvjgb2+3XWa63/0srLfa+RrxCiU1BKMeDhhym66nfYDh+mvqSEvU8+1eRKj69wnsB5ozezqKgokpKSyM3NPWHsDqeEhASjmdDxJk+e3OLrPKmt48/4sqioKLKysry6zZSUFDIzM71yw743efMYAeuOk8bvX0lJictlzTpGtM1G2YMPUvnWW8a8qOuvo98Dc/y+yBH+zawBQ9cDH2C/OuPsZjoZ+7g6DY4rPROVUhGNXhPheF3gdN4vhPA7If370292mjF94JVXqCr4wsKImudsIpOamuqV7aWmpnr9BNxd69evb9Oo8uKYjIwM5syZ06TIqaioaHc3yb7E28eIc1vePE7cff/MOEa01ux65BEqs1835kWlJNN//nwpcoTlzBgw9H4gBVjp+JuKfVydSo4VPUnYr/aUOwqf/UA59mIorbn1ihPFxcVZHUJAkryKyDFj6P6b39gntKZs7lxsNTWWxjRq1Ciio6ONExhnM6OkpCSv7LPJycnk5eX59ECSK1asIC3Nc18hgf5ZkJ2dTVJS0gnNupxdXJvJjNy6Oka8xZvHSXPvX1xcnMv3z9PHiNaa3YsWU7Hu2EgikX/4A/0ffhgVZNbdEd4X6J8FVjI7t2bshZOBkVrrKVrr17XWKx3/jgFGYu9sYCvHih4FRANfAIla6y9NiCkgyYFnDsmrUEox4NFHjO6l67ZuZd+zz1oWT25uLrm5uVRUVBht8HNzc417N7y1z3qri2OnAwcOtPnKwooVKxg7dqxHm1/5y2dBa3kaPnw40dHRTeY5Ozk4cOCAsX/l5uaSnZ3N+vXrTb9Xx9O5be0Y8SZvHCctvX95eXktvn+ePka01uxJz6D8tdeMeRFXXcWARQsDqsgB//ks8Edm51Z5up9vpdRPWuuT2rDcMOxXcMYBGrhUa33Qo8H4sMTERN1a7yxCBBJ/HFugfN16dj30kH0iKIi4dX+m2xlneD2OoqIihg8fTk5ODklJSWRkZJCTk9NiW38zjRw5kqysLFPv53B2wZubm2v0EBUfH09KSkqLv84PHz6c/Px8nxzLxSxtzdOoUaMoKioiKyvL+PW/8ZWP4yUkJJCfn++V/4On+NIxAuYfJ+15/zx5jGit2fvHP7J/5SpjXs8rLmfQsmWoLqbc/u03/PG7zt8ppfK11s12rWhGoZMHXKy1PuTGa84C5gDr2tBZQUCQQkd0Nv744a+1puTW26j69MkcwTsAACAASURBVFMAQk8azrC//IWg0FCvx7JixQqysrKMk5SVK1daclJfVFRk9PDkK1JTU10WQQKj6+JAzpGvHCPge8eJp4+RvU8/zb7lzxvTPUclMeiPf0SFhHhk/f7MH7/r/J23C53J2K/OjGvHa18ANmit/+7RoHyQFDqis/HXD/+6HTso+v3V6KoqAHpNSaXvjBkWR2Wt3NxcsrKyyMzMtDoUVqxYQUVFhenjzPi73Nxc4uPjA65nNV/mK8eJp4+RvcuXs+/pZ4zpHhdfzOCnnkRZ8AOQL/LX7zp/5qrQMWPA0BX2barF7XjtFCBwhmQWQvi90MGD6Xvvvcb0/pWrqPn2Wwsjsp5znJfs7GxL43B2lStFTusKCgqkyPEyXzhOPH2M7Fu5skmR0/2CCxgkRY7wYR6/omOsWKkN2O+9meiqGZtSKg5IAHK11geVUpu11mebEpQPkSs6QvgPbbNRMn4CVY5jNuy00xi2Yb000xB+oaKigg0bNnhlLCMRuPavXsOeRp0sdD/v1wxevpygrl0tjEoIL1/RcdJajwWygC+UUs83HjPnOLmO5fIcRU90C8sJIYQlVFAQAxY+igoLA6D2u+/Y/+KLFkclRNtIkSM66sCrrzUpcsJ/9SsGP/ecFDnC55na/5/WOtvRA1su9sFDm+PsYvokoBB4wRPbVkolK6UylVLpjkemUqrd1+2VUglKqXyl1KzG61FKxSulJiulcjqy/vYoLi725uY6Dcmrefw5t6FxcfS5+25jet9zy6n96ScLIzrGn/PqywIlr75Y5ARKbn2NGXktX7eO3YsWGdPdRo5kyPPLCerWzePb8lWyv5rH7Nx6paNzx3g6LY2Pk4y9ECoAZmutH+vo9pRSmcA4rXWq1jpNa52GfSDSHKVUR7ocScB+D1GhUkorpTT24iwdSNNae3UkPTnwzCF5NY+/5zbmlgl0dXQvrevr2Tl3LrqhweKo/D+vvkryah7JrTk8ndeK7Gx2PfSwMd1txAiGZGYaY4x1FrK/micgCh1XtNZfaK0v01onaq2XdXR9SqlkYKzWOuW47VQAqUCWUqq9/U1mAys4VphlA6la62itdUEHwhZC+AEVHMzARQvBcW9OzVf/5cCrr1oclRBCeF7Fm29SNn+BMd31l79kyMoVBPfoXEWO8G+WFzomSMdejJxAa53r+Oecdq47x3GVaJTWeqTWOsXRy5wQopMIO/lkek9JNab3PvkUdSUlFkYkhBCeVfnOu5Q9MBccHVZ1Pf10hq5aSXDPnhZHJoR7AqrQUUolYL8XaLOLxfIA32uw3A5xcXFWhxCQJK/mCZTc9p40ibBTTgFA19RQNm8+2mazLJ5AyauvkbyaR3JrDk/k9eDGjexMSwPHZ1rYKacw5MVVBEdGdnjd/kr2V/OYnVuXhY5SaqlS6hJTI2gHpdQIpdTzzTzlvP/G1b0yRUCUtzsOMIMceOaQvJonUHKrQkMZsGgRBAcDUPX551RsyLIsnkDJq6+RvJpHcmuOjub1YE4OpffNPFbknHwSQ1e/RJfozt0hruyv5rG00NFazwamKKVuNzUKNyilxgDpWus7mnnaOf6Oq0Kn0PE3waOBCSFcUkoZI0YHgm6/+Dm9brvNmN6zbBn1ZWUWRiSEEO136MMPKb33PnB0sBIaH8/Q1avpEhNjcWT+JdC+6/xdq03XHOPhjFZKrVdKWdY4UykV4RiEdLLWenQLi0WB0fFAS5zPtevIdXQnPcvRpXS6Uiqrgz25CSH8VO+pdxE6bBgAtiNHKHvwQcwahFkIIcxy+F//ovTu6VBfD0BobKy9yOnd2+LIhOiYLm1ZSGs9Vik1CyhWSi3WWj9uclxNKKUm4uhkQGvtqiMBd4qX9vS8Ngo4oLXOaBRbFLBJKZXZWscESqnJOO4PGjhwIB999JHxXFxcnMvLd8XFxU264JPlZXlZ3jeWDxkzhpjHHwetOfLPf3Hw7beJvPpqv4lflpflZfnOvfyRjz9mx11T0Y4iRw3oT+mUVLZ/9y18963Pxy/Ly/KuKHd+fXTc7L8CGAZkYi88il2+qJ2UUhHYe0ebDBzA3mX0F628phCI11q3eM3QUWxkAhmO8XXaGk88kNRcMePISz4wsq3dTCcmJuq8vLy2bl4Iv+e8lB+IVzx2LVpMuaOb6aDISIa/+w5d+vSxOCohhHDtyGefsz01FV1TA0DIwIHEvvoKIYMGWRyZ/wrk7zpfpZTK11onNvecW72uaa0LHCtKBcZiHzhzs1JqsVJqhAcCHaGUWqKU2gyUO7YzW2t9cmtFjtm01kUtXbFxFDcV2K86CSE6mb4zphsnBrbKSnY9utDiiIQQwrWq/Hy233GHUeR06d+foS+vkSJHBJQ2NV07ntY6G8h23JuSCswG0hxVbJHjUQDs59g9MQccf53Ny6KAXtg7BYh3PAAU9oE4Z2utN7Unvjba7+H15QFJSqmoVu4REkIEmKDu3Rmw8FFKbrV3TnDogw84uPF9Ii5v6XZCIYSwTtUXX7B90mR0VRUAXfr0IXbNakKHDLE4MiE8q12FjpNjAM5cpVQk9vtXzgYudfx71PGLO/4216ysAFiGffybXK11ZTtDqgD7fTNtKDY8XYw4e3qLx/7/MV1xcXGrbROF+ySvoj26//rXRKUkU5GVDcCuRx8l/JxfeaVbVtlnzSF5NY/k1hxtyWv111+zfdJkbI4iJ7h3b4a+vIZQeT9aJPureczOrUcGDNVaV2qts7XWaVrrRK11EBCNvdhJwX7VZ4rjkeqYNxKI1loHOV4zW2v9egeKHDhWbLjqlMDZCcEBF8ucoA3j7jgLp2bbCJqh8c1YwnMkr6K9+s6aRZe+fQFo2L+fPUuXemW7ss+aQ/JqHsmtOVrLa82331Jy+0Rshw8DEBwTQ+zqlwiL9/uhBU0l+6t5zM5th67ouOIoWMxsetYcZ6Hjqke14Y6/bb7qopTKBCYrpVIczfaa064CSggROIJ79qT/ww+x4447Aah8620ifvtbelx4ocWRCSE6u5rvv6fk1tuwHTwIQHBkJENXv0TYySdbHJkQ5vHIFR0fst7x19VPE/FAhdba1aCix4vBfsXG1WucV5G80mxNCOGbel58MRFXXWVMlz34EA2OX0+FEMIKNT/8QMktt9JQaW80ExQRwZCXXqTrKadYHJkQ5gqoQqdR72fH3x/UWBL2LrLdsZnWu45OAgrcLKA6RNqLmkPyKjqq39wHCHaMJn501y72LHvM1O3JPmsOyat5JLfmaC6vtT/+aC9yyssBCOrRg6EvrqLbz3/u5ej8l+yv5jE7t26No+MPlFLJwEpg2PEdErh6zvF8FvYmaCmNn3cMCpqutU5tYZvOsXmGt7XQkXF0RGfT2cYWOPjee5Tec68xPXTNGrqfe46FEQkhOpvawkK2jZ9Aw357R7NB3bsz9KUX6XbmmRZHFrg623edL/DYODr+wHEPzQbsBY3BWaxwXBHT6PkkIBn7lZmxx62zAshSSmUd3ymBo8hxrtdrV3OE8Dda6071wd/z8svpkXSpMV02f77Ry5EQQpittmgr22655ViREx7OkJUrpcgxWWf7rvN1AXdFx8lx9WYUx3pDc16VabEYUUrlO/55aQvFkLNYiuFY5wNFQJq7Y+fIFR0hAl/9nj0UXfU74+bfmAkT6DdntsVRCSECXe3WrZSMn8DRvXsBUOHhDF25gvCRIy2OTAjPc3VFx61CRyl1FpCLvenXQce8SOwn+5dqrb/0QLydghQ6QnQOFX95g7IHHrBPKEXsn9YSftZZ1gYlhAhYddu2se3m8RzdswcA1a0bQ1dkEn722RZHJoQ5PNl0rQj7gJ+NB4dId8yTZltCCHGcyGv+QPfzz7dPaE3ZvPnYamutDUoIEZDqSkrYNuGWY0VO164MeeEFKXJEp+VWoeMYGycJmKKU6um4mjMZSHZe4RFCCHGMUooBjzxMUHg4AHWFhexb/rzFUQkhAk3djh32ImfXLgBUWBhDXnie7uf8yuLIhLCO250ROLpYTgMeAGYDGVrrv3s6MCGECBQhAwfSZ+Z9xvT+Vauo+fZbCyMSQgSS+tJS+z05ZWWAo8h5fjndzz3X4siEsFabCh2l1Eyl1PNKqSVKqYnYm6mlYO+l7HOl1MTGy5gZsDimuLjY6hACkuTVPJ05t9HXXUd4oqMJcUMDO+fOQ9fXe2TdnTmvZpK8mkdy6zn1O3eybcIt1O/cCYAKDWXwc8/R/bzzLI4scMj+ah6zc9vWKzq/AoY7HomAs4vlGMe/ExstE9/cCoTnyYFnDsmreTpzblVQEAMWPooKCwOg9rvv2P/iix5Zd2fOq5kkr+aR3HpG/a5d9iJnxw4AdJcuDH7uWXqc/xuLIwsssr+ax+zcdmnLQlrrJuPKKKUmYe99DaBCaz3F04EJIQKLDKIGoXFx9Jk+nT0ZGQDse245PZOSCDvpJIsjE0L4m/rdu9k2YQL127fbZ4SEUDF5EqdfcIG1gXVy8l3nW9y+R0cpNQx4AXvPaxlAplIq1tOBCSFEIIqZMJ6uZ5wBgK6vZ+fcueiGBoujEkL4k/o9eyiZcAv120rsM0JCGPzUU9T98pfWBiaEj3G70AE+ALK11sWOwTf/AuR4NizRFnFxcVaHEJAkr8JMKjiYgYsWQkgIADVf/ZcDr77aoXXKPmsOyat5JLftV79nDyW33Eqds8lPly4MfvIJel5yseTVJJJX85idW3cHDL0Ue1ETr7UudsyLB34CkqT3tbaTAUNFZyOX85vau3w5+55+BrCPdRH/9luEDh1qcVRCCF9Wv3s3JRNuaVLkDHrij0SMGmVpXOIY+a7zPo8NGKq13gREO4scx7wixzwpcoQQoo16T5pE2CmnAKBraiibNx9ts1kclRDCV9WXlbHt5vHHipzgYAY99pgUOUK40J5xdCrbMk8IIUTLVEgIAxYtguBgAKo+/5yKDVkWRyWE8EV1O0rZdvN46ksc9+Q4r+RcPtrawITwce25R0cIIYQHdPvFz+l1223G9J5ly6h3DPgnhBAAddu3s238zUYX0oSEMPjpp4i47DJrAxPCD7hV6CilrlVKrVdKLVdKRZgVlBBCdBa9p95F6LBhANiOHKHswQelbbcQAoC64mK23TyeozvtP4Co0FCGPPsMPS+5xOLIhPAPbS50lFJjgFVAMpDKsXF0hBBCtFNQWBgDFi0Exw2sR/75Lw6+/bbFUQkhrFZbtNVe5OzaBYAKC2Pw8uX0uPBCiyMTwn+4c0VnNjASOAgoYLgpEQkhRCcTnpBA9E03GdO7Fi+hfs8eCyMSQlip9qef2DZ+PEf37gXsPTMOeeF5epz/G4sjE8K/uFPoRGmtt2IvdjKApOYWUkq974nAROuKnT2vCI+SvAor9J0xnZBBgwCwVVZSNm9em5uwyT5rDsmreSS3Lav5/ge2jZ9Aw759AKjwcIasyKT7r3/d6mslr+aQvJrH7Ny6U+gopVSs1rpIaz1ba/1FC8uNUkrFdTw00Ro58MwheRVWCOrenQGLFxvTR/75LyrWb2jTa2WfNYfk1TyS2+bVfPcdJRMm0HDgAABB4eEMXbmC7r/6VZteL3k1h+TVPL5U6GQABUqp+6QjAiGEu7TWfPjhh1aH4dO6n/MrYiZMMKZ3p6dTt22bhREJIbylessWtt1yKw0VFQAE9ejB0JdeJHzkSIsjE+7QWkuHMj6kzYWO1noF8HdgGVCulPrR0QPbRLmCI4QQntHn3nsIPcl+C6Surmbn7DnohgaLoxJCmKn6q68oufU2bJX2YQmDIiIYuvoluo0YYXFkQvg3t7qX1lqnYC90nJ0RJAOZQKFSqsFxf44GLpWrPuaLi4uzOoSAJHk1j+S2dUFhYQxMT4cuXQCo/uIL9r/4ksvXSF7NIXk1j+T2mCOffsa2W2/DdvAgAMGRkfYi55e/dHtdkldzSF7NY3ZuVXsurymlIrF3MT0WSGj01PErqwDygAJgM1CgtS5uV6QBJjExUefl5VkdhhDCR+17/nn2PvW0fSIkhGEb1tP1tNOsDUoI4VGHPvqI0ukz0LW1AARHRzN09Ut0PfVUiyMTwn8opfK11onNPtfRdoSOoicJGAUk0rTwgROLH7AXPnlADp20+JFCRwjhij56lOIbb6Tmq/8CEHbyycRlZxEUFmZxZEIITzj43nuU3j8Ljh4FoEu/fgxd/RJh8fEWRyaEfzG10GlmYzYgBYjB3hV1c8UPnFgAFWAfhDRHa/13jwblg6TQEUK0pnbrVrZecy26pgaAmNtvo9/991sclRCioypef52y+QvAZgMgZPBghq5ZTejgwRZHJoT/cVXouHWPjhvytdYrtdZTtNaJWusg7Pf0pAArsBc16rjHSGAWkOO432ejUuoak+ITQgifFzZsGH1nHStsDry0mqrNmy2MSAjRUQdeeYWyufOMIid0+HBi174mRY4QJjCr0DmB1nqr1vr1FoqfDOxXcxoXPpcB2Y6iZ3GLKxZCiAAWff31dD//fPuE1uycPYeGw4etDUoI4TatNfuef57di5cY88JOP43YV18hpF8/CyMTInCZUehkAAfasmCj4me21vqyZq78fIG96JmtlNqnlDrThHiFEF6glEIpZXUYfkcpxYBFCwmKjASgvrSU3UuXWhyVEMIdWmv2Pv74sQ5GgG5nnUXsmjV0iYmxMDLhafJd51s8Xug4ipaDHXh9c1d+xmIvegqUUrEeC1YIIfxASL9+9F8w35iuzH6dQ5s2WRiREKKtdEMDux56mP2rXjTmdT/v1wx9cRXBETIShxBm8lrTtY7QWmdrrUcB47Bf6RFAcXGx1SEEJMmr8EWRV15JxG+vMKbLHphL/e7dgOyzZpG8mqez5NZWW0vpPfdSsX69Ma/HpZcy+PnnCQoP9/j2OktevU3yah6zc+vzhY5SKkIpdQnYCx7svbkJ5MAzi+RV+Kr+CxbQpX9/ABoqK9k5Kw3d0CD7rEkkr+bpDLltOHyY7ZNTOfTBB8a8iN/9jsFPPmFaN/GdIa9WkLyap9MXOth7aMtRSn3umG5Tw0elVLJSKlMple54ZCqlTOmcXimVb8Z6hRCiseCoKAZmpEOQ/aO76rPPmjSHEUL4hqP79rFt/HiqPvvMmBczYTwD05eiQkIsjEyIzsUfCh2j+2ml1PvYe2dz/QKlMoFxWutUrXWa1joNSMNeMCV5NDilZtH8OEFCCOFx3X/1K3pPSTWm9z79NCFFRRZGJIRorG77dopvuJHab78z5vW59176zp6NCvKH0y4hAoc/HHEpwFagEijQWs92tbBSKhkYq7VOaTxfa10BpAJZSqkoTwTmuEI0xxPrao+4uDirNh3QJK/C1/W+8066nXWWfaKhgV6vvErDoUPWBhWA5LPAPIGa25r//Y/iG26gvqTEPiMoiAELH6X35Ele6YkrUPNqNcmreczOrdJam7oBb1NKFQLZjqs4zT1fDqxo6Xk3t5UOxAPJWmu3PsESExN1Xl5eR0MQwm84v+QD7TPHKnU7Stl6zTXYHAVOxFVXMXBZhnRrKoRFqjZvZvsdd2JzjHOlQkMZ9MfH6Znk0YYkwsfJd533KaXytdaJzT3nD1d02kwplYC98HA1dHgeMNkD20oG1tPGMYOEEMKTQgcPYsDDDxnTB999l8q33rIuICE6sUObNlFy+0SjyAnq2ZOhL66SIkcIiwVUoQM4P1FcNVgvAqI60jGBo+nb2VrrgvauQwghOirit78l8tprjeldjzxKrdyvI4RXHVi7lh3T7kbX1QEQ3Kc3sa++QvjZZ1scmRAi0Aod56eKq2/6QsffjnQgMAdY0oHXCyGER/Sf+wChjjbOuqqK0ukzsFVXWxuUEJ2AttnYnbGM3Y8uBJsNgJDYocT96U90PfVUi6MTQkDgFTpRYHQ80BLnc+0aj8fRPG5zK9sQQgivCOrenUFPPoEKDQWg9scf2fXIoxZHJURgs9XWUnrvfRx46SVjXtczziDuT38idMgQCyMTQjTWxeoAPMyd4qW9Pa+laq1TW1/sREqpyTjuDxo4cCAfffSR8VxcXJzLnieKi4ubDKoky8vy/rZ84xszfSGeQFp+V9euVI5NIeK1tQBUvvEG4YmJRI25ttnlfS1+WV6W96flY6OjUUvTqf7iC2Nej0svZdBjywjq1s3n45flzV3++E4IrI6nMyzvSkD1uubocS3eVQ9ojmIjE8hwt+c1x2tztdZFjeZlApOl1zUhhJW01pTNnmN0SKDCwojbsJ6up5xicWRCBI66khK2T5pM3bZtxrzom2+m3+w0VHCwhZEJ0Xl1ml7XzOTogCCqcZFjtcYVrfAcyat5JLfmKC4uRilF/wcXEHrScAB0bS2l02fQcPiIxdH5L9lfzeOPua3+8kuKx113rMhRin5zZtN/7gM+U+T4Y179geTVPGbntjMXOvvdXH6O1jrDlEjaSQ48c0hezSO5NYczr0Hh4Qx+6ilUeDgAdcXF7FowX8ZzaCfZX83jb7k9+MEHbJtwCw3l5YD9iumgJ58kZsIEiyNryt/y6i8kr+aRQsc9FWBcfWnTsm3hGDMnp71BCSGEt4QNH86Ahx82pg/+7T3KHffuCCHco7Vm/4svUjp9Brq2FoDg6GiGrllNxOjLLI5OCNGaQCt0nM3KXHVK4CyC3Bno82ytdW77QhJCCO+K/N1VRI0bZ0zvTk/nyOefWxiREP7HVltL2ew57Fn2GDiuiobEDiVu3Z8JP+ssi6MTQrRFoPW65ix0XF3RGe7426bBPh0dECQrpVoa3jjesVy+c4bWemRb1t1RrfU0IdpH8moeya05mstrvwfmULNlCzXffANHj1I64x6GZWcRMnCg9wP0U7K/msfXc3t07152TLub6i+/NOZ1GzmSwc8+Q5foaAsjc83X8+qvJK/mMTu3gdbrWgKQD6RorbNbWCYHSNRae+STyrG+JOl1TQjha+rLytianELDfvstiV1//nNi175GUNeuFkcmhO+q+fZbtt81laNlZca8yDHXMuDBB43xqoQQvqPT9LqmtS7Afu/NKBeLJQErvBOREMJJKYVSbv0eIDooZMAABj/1JHSxX7yv2bKFsgULpHMCIVpw8P0PKL7xpmNFTlAQ/ebMZsDChVLkiDaR7zrfElCFjsMkYGxzHRI4OhWoAJY090KlVJZSKqeNnRkIIYTPC09MpP/cB4zpg2+/Q/krr1gYkRC+R2vN3uXLKZ0+HV1dDUBQjx4MyXyBmAkT5MRVCD8VcIWOo8naBmBl4/mO4iUde7O2E3pcc9yDk4z9is9YNzYZ43h9fHtjFkIIM0Vddx1RKcnG9O6MZRz55BMLIxLCd9hqath530z2Pf2MMS8kdihx69fR44ILLIxMCNFRAXWPTmOOqzejONaNdBSQ7mrAz0YdClzaXDF03LrnONbpLHAqsHeGkKe1Tm0tPrlHR3Q2zl9EA/Uzx9fZ6uoouXk81V99BUBwZCRxG9YTGhtrcWRCWKduxw52TLub2u++M+aFn3sug598guAoadwh3Cffdd7n6h6dgC10fJ0UOqKzkQ9/69Xv3sPW5DE07N0HQGhcHHHr/iwndKJTOvzPf1J6/yxslZXGvKjrr6P/Aw+gQkIsjEz4M/mu875O0xmBEEKIloX068uQZ59FhYUBUFdczI6p07DV1VkcmRDeo2029j73HNtTpxwrckJC6P/Qg/ae1aTIESJgSKHjx4qLi60OISBJXoW/cWef7XbmmQxMTzemq/Ly2DV/vvz62Az5LDCPVbltqKxkxx13su+ZZ41BQLv060fca68Sfd11lsTkSbLPmkPyah6zcyuFjh+TA88cklfhb9zdZyMuH03fmfcZ05Vvvc2+5cs9HJX/k88C81iR25rvvmNrcgqH//EPY174Oecw7C+v0+3MM70ejxlknzWH5NU8UugIIYTwuJjbbycqJcWY3vfMs1S+846FEQlhnsq33qL4uuup377dmNdr4u0MfXEVXXr1sjAyIYSZulgdgBBCCO9TStF/wXzqS0s58vHHAJQ9MJeQ/v0JP/tsi6MTwjNstbXsXrqUij+vM+YFhYczYMkSIkZfZmFkQghvkCs6fiwuLs7qEAKS5FX4m/busyokhEFPPUnoScMB0PX1bL/zLmoadbXbmclngXm8kdvarVspvu76JkVOaHw8cdlZAVvkyD5rDsmreczOrXQvbRHpXlp0NtLlpu+qLy1l63XXGd1OB/fqRdza1wiVL3fhpyrfeZddDz6IrarKmNdz9GgGLFpEcI/uFkYmAp1813mfdC8thLCc1lo++H1UyKBBDF21iqCePQFo2L+fkttup373bosjE8I9tupqds6bx8777zeKHBUSQr/58xj05BNS5AjTyXedb5FCRwghBF1POYUhmS+gunYFoH7nTkpuv52j5eUWRyZE29R8/wNbU1KozH7dmBcaG0vc+nXE3Hij8Uu7EKLzkEJHCCEEAOEJCQx++inoYu+npu6nQrZPmYLtyBGLIxOiZdpm48DLL1OckkLdT4XG/IirriLu9dfpevrpFkYnhLCSFDpCCCEMPf7v/xi4dCk4fv2u+eq/7Jg2DVttrcWRCXGi+t172D5xEruXLEXX1QGgunZlwKKFDFyWIU3VhOjkpNARQgjRRORVV9Jv/jxj+sjHn7DjrqlS7Aifcig3l61XX210jw4QdvppDHs9m6gxY6SpmhBCCh0hhBAnirnhBnrfPc2YPvLvf7Pjzruw1dRYGJUQ0HD4MDvnzWPH1Gk0VFTYZypFr4m3M2zdOsKGD7c2QCGEz5BCx48VFxdbHUJAkryaR3JrDrPy2ufOO+l9113G9JH//KdTFTuyv5qnvbk98sknFP3+9006HOjSvz9DV6+m78yZqNBQD0Xon2SfNYfk1Txm51YKHT8mB545JK/mkdyaw8y89pk2ld5TpxrTRz7+mB133omtutq0hooKKwAAIABJREFUbfoK2V/N425ubUeOUPbww5TcehtHd5YZ8yN+ewXxb71J93PP8XCE/kn2WXNIXs1jdm67mLp2IYRwkEHU/FefqXdBkGLf088A9nt2tt9xJ0OeX05Qt24WRycC3ZHPPqds7lzqd+ww5gVHRtL/wQX0vOIKuRdH+BT5rvMtckVHCCFEq/rceSd9pt9tTFd9+iklEyfRUFlpYVQikDUcPsyuRx6hZMKEJkVOj0svJf7dd4j47W+lyBFCuCSFjh+Li4uzOoSAJHkV/sZb+2zvO+6gz4wZxnR1fj7bbrqZ+t27vbJ9b5PPAvO0lttDmzZRdOVVlP/pz8a8oIgIBmakM/jZZ+jSp4/JEfon2WfNIXk1j9m5VXJpzRqJiYk6Ly/P6jCE8Bq5nB849q9ew570dGO6y8ABDF21irD4eAujEoGgfs8edi9cxKEPPmgyv8eFF9L/kYcJ6dfPosiEaBv5rvM+pVS+1jqxuefkio4QQgi39Lr1FgZmpEMX+22eR3eWse2GG6n+6iuLIxP+SttslK/fQNGVVzUpcoJ79WLg448x+IXnpcgRQrhNCh0hhBBui/z97xny/HJUeDgADRUVbLvlVg7/4x8WRyb8TfU3Wyi+/np2PfggtkOHjPmR117L8L++S+SVV8q9OEKIdpFCRwghRLv0uOACYtesJjg6GgBdXc32O+/iwGtrpdmGaFVDRQVlDz1EcUoKNV/915gfMnQoQ9esZuDiRQRHRVkYoRDC30mhI4QQot26nXEGsX9aS8jAgfYZDQ3sXriQsvnzsdXVWRuc8EnaZqMiO5vCy6+gYt16cBTFKiSEXndMIf7tt+h+7rkWRymECARS6AghhOiQsGHDiP3zn+n6i18Y8yqzX6dkwi0c3bfPwsiEr6nKy6N47DjK5s2noaLCmN/9gguIf/cd+k6fTlDXrhZGKIQIJFLoCCGE6LCQfn2Jfe1VIn7/O2Ne9RdfsDU5hepvtlgYmfAFdSUl7Lh7Ottuupmab74x5ncZOIDBzz7DkBWZhMbGWhihECIQSaHjx4qLi60OISBJXoW/8ZV9NqhrVwamp9P3/vshyP71cnTXLrbdeCMVb75pcXTu85W8+rOGgwfZnbHshN7UCAmh15RUhv/1r/RMSpLOBjxE9llzSF7NY3ZupdDxY3LgmUPyKvyNL+2zSil63X4bQzJfIKhnTwB0bS1ls+ewMy2NhsNHLI6w7Xwpr/7GVlPD/pdWU3jZaA689BK6vt54LuKqq9j70IP0nTGDoG7dLIwy8Mg+aw7Jq3mk0BFCBAStNR9++KHVYQgv6XHBBcRtWE9oo0FEK996m63XXkv1119bGJkwk66vp3z9BgpHX86ejIwm9+F0GzGCuHV/ZtBjy7D16mVhlEKYR2stvU76kC5WB2AWpVQyMApwfspGAela66IOrncWcHajdeJYb25H1iuEEIEmbNgwhmVtYNfCRVS+8QYA9SUlFF9/A33vmUHMrbeiguT3tkCgbTYO/u099j7zNPXbSpo8FzJoEH3vu5eeV1whTdSEEF4VkIWOUioTiNFapzSaFwXkK6VS21OUOF6/Eliitc5oND8JyFFKZTfenjfExcV5c3OdhuTVPJJbc/hyXoO6d2fgksV0P+88dj30ELYjR+DoUfYse4wj//mYAQsfPdY1tY/x5bz6Ct3QwMGNG9n/Qia1P/7Y5Lng3r3pfccUolNSUKGhTZ6T3JpD8moOyat5zM6tCrTLa44rOSu11tHNPJcEZAHDtNYVJ7zY9XqzWipklFLpwCwgrXER5EpiYqLOy8tzJwQhhPBrddu3U3rfTGr+e2xwyKDwcPrccw/RN1yPCg62MDrhDn30KAf/+lf2vZBJ3datTZ4Lioig18SJxNx0I0Hh4RZFKIToLJRS+VrrxGafC8BCpxDI1lqntfB8ObCipedbeE0UUA7kaq1HNfN8EpADFGitR7ZlnVLoCCE6I11fz96nn2H/qlXGQJEA3c48k/6PPkLXn/3MwuhEa2x1dRx8+232rVhJfUnTJmoqPJyYm26i1+23ERwZaVGEQojOxlWhE1BN15RSCUA8sNnFYnnAZKDNhQ4Q4/jbbBKBA46/US08L4QQAlAhIfS97156XHwRZfMXUFdYCED1V1+xdUwyvSdNpFdqKkFhYRZHKho7Wl5Oxbp1HFj7JxqOGwQ2qEcPom++iZjx4+kSfUJjCiGEsExAFTpAkuOvqw4HioAkpVR8Wzsm0FoXKaVGcqxjg+M5uxWSDgmEEKINwhMSGPbGX9ifuYJ9K1ZAfT3U17Nv+fNUvvOu/eb10aPl5nWL1RUXs//ll6l84010TU2T54IjI4meMJ6Ym24iOCLCogiFEKJlgVboOHtDc1XAFDr+JrSyXBNa6wIXT49z/M1s6/qEEKKzCwoNpc+0qURcPpqy+Quo/vJLAOq3b6d0xj10GzGCvrNmEZ5wlsWRdi66oYEj//435X9ex+F//KNJE0OALv36ETP+ZqLGXUdwj+4WRSmEEK0LtEInCqCVjgacz8W4WKbNHM3lkrF3ROCqGBKiU3P+Mh9o9wWKjgs7+WRi/7SW8nXr2PvU09gqKwGo/vJLtt1wAz1Hj6bvvfcQGhv7/+3d7W9c53nn8d8lS5YtyfKITtquirbUCIXzgDi7FLPeTe3UrWc2CdoAbZaUdrsJsClWJJAXuygKiPBfIJBoNtiHFyWVV7vtC5ns03ZRb0Jql2iAoI1IAnGTNumW9CyQOI1dS7QpK7Ik+9oXc4aixJkhh5xrZs493w8wGGvOmZv3/HxzDq/zcJ8u9zRtd994Q+t/8Idav3xZd37wg23LD3/wg3riC/9Wxz/1qW2zqAGoYlvXW1IrdFopXvZ1PU02QUFJ0guSRt19bj/tAUA/swMHNPAbv6HHf+VX9A+/O63rv/d78jt3JEkbX/2qNq5c0eOf+YyeOP/vdHjLTUixP/7uu3r7L/5Cb/7hH+mtr32tegrhA45+4lk98Zu/qSNPP82phAByJbVCp5XiZU+3Zc6O4JzLflZR0mVJuzqSY2Zjqk6EoJMnT2pxcXFz2eDgYNO5xCuViiqVyn3rb33ezfqttt+v61cqlW3vzVP/Wb//1l9eXtbGxkbP9Gff6587q+K/+Q29/h+/rLf+7M+qL969qzf/6I/05h//sQ58/ON6/RPP6m52hCeqP7dv39bDDz/ce/m0Yf13/u7v9Oaf/Ine/B9/qrs/+tG2Nh56/HE9/tnP6sS5s3o44Ptw6/Ne+s/69devsP0KWX9rrr3Qn5TWb8f2q5mkppfOppYuunvDXU5ZsTEtaaqVKaabtDck6YoeuJHoTtoxvfTi4qKee+65fbWB7cg1Bofz46Q8Zn/8rW/ptd/5km5e3T6Z5tGPf1wDX/iCjv7Cx2UHDrT9Z6eW650f/lAbX/ua3vzT/6lb3/523XUe/ehHVfjX/0rHP/UpHXjkkbC+pJZtryDXGK3kyrauNe0Ys30zvXSL3mhHI+6+YmbnJc2a2RPtKJ4AAFWPfvSj+rn//t90c2VFb0zPVC+Oz7z9jW/o7W98Q4d++qdVGPmXevyzn9Whn/zJLva299z+/g+08dWv6q2vfVW3vvVy3XUeGhjQ8V/9FRV+/df1yAc/2OEeAkCc1Aqddal6/cwOExJsrtsO7j5nZuuSLpjZ9G6nrQYA7M6RoSEdmf5d3fre9/TGzCW99dJL0nvvSZLu/OAHev0//We9/l/+q4594hMqnB3V0Wee0YE+vGDe331Xt779bd3486/rxuKibn3nO3XXs0OHdOyXfkmP/9qv6dizz8gOHepwTwEgXmqFzpqq00YPqHEhU7uO51qD5Xu1pOrkBCOSdn0K237sdF4i9oZckTf9NGYfefJJ/fSXfkfv/w//Xtd///f15h//id7NZmnTe+/pxuKibiwu6sCxYzr23HN6rFzWsWef0YEjR1r+WXnJ9e4bb+jtb3xDN/7863r761/Xu+sNNn8PPaSjTz+txz75SR3/5L/QQ4Xu3eM6L9nmDbnGINc40dmmdo3OpKQLks40murZzKZVnRDg9G6PvJjZrKpFzJlG78nWGZE05+6jO7XZjmt0gDzhvGVEeO+dd7TxtXmtz87q5je/WXcdO3xYR599Rsd+8Rd19OmndehnfibXs4fd+eEPdXNpSTevLunm0pJurzXZlB06pKP//J/p+Cc/qWO//Ms6eOJE5zoK9CG2dZ3XT9foXFa10Cmq8UxoRUnrLZ5eNpI9lyTNNFintmts+xWzAIAQBw4f1uOf+VU9/plf1e1KRet/8Ad666X/pTvf//7mOv7OO7qxcEU3Fq5Ikg7+1E/pyD/9mI4+/bSODA/r0M/+bM8WPnevX9et7/y1bn3nO7r113+tW3/1V7rz6qtN3/PQ+96nY888o2OfeFZHf+EX9NDjj3eotwDQW5I6oiNJZnZd0ovuPt5guavFGdfMbF7SrLs3KnJqP7cgqezuCzu1yREd9Bv2cqFT3F3vfPe72pif18b8vN75v3/XdP0Dx47p8JNP6pEnn9ThDzypRz7wAT1cLOqhY8c61t+7r7+u269UdLtS0e1XXtHtSkW3/vZ7uvvqD3d8vx06pEc++pSOPfOMjj77rB754AdDZqEDsDO2dZ3X7IhOioXOiKRLkk49OCFBs2XZ8llVi5XRrcvNrKRqAVO3OMrandUuT1uTKHTQf/jyR7e8s/aKbvyf/623v/lN/XhpWe+9/fau3nfgscd06OTJe49/9FM6cPy4Hjp+XAeOPaaHHjumA48d14HD2aQHZvce7nrvxz/We2+/fd/j3evXdff113Xntdd097XXdfe113T37/9e7928uevPY48+qiP/5B/r0eFhHRke1qNPPRU6FTSA3WNb13l9VehIm9fhDGwtOsysIGlZ0ni9Iy5ZMTOf/XP8waM32f13ypImtp72lr1vVtKSu5d320cKHfQbvvzRC/zuXd36m7/RzW9+U2//5V/q1rdevjeZQQ+yhx/W4Q98QI98+EN65EMf0qMf/rAO//zPM0sa0KPY1nVe3xU60uZRlrLuzb5WkDTZ7NocM1vO/vP5Bkd8CpImVZ3VrdamJE27+1wr/aPQAYDuc3fdfe01vfPd7+rWd7+nd773Xd363t/qzve/L3/nnY7148Bjj+nhU6f08ODP6fCpU3p4cFAPF0/rcPEURQ0ANNGXhU6vo9ABgN7l7nr32jXdefVV3fnBq7rz6qu6+6Mf6d0bG3rvrY3q88YNvbvxlvzOHcklud97SDpw5Ej1cfTo5uOhx4/r4E/8pA7+xE9kj/fr4Pvfr4cKhZ6dEAEAelk/zbrWVyqVCnO7ByDXOGQbg1zbz8z0/Y0NDX7kI3r0Ix/pdneSw5iNQa4xyDVOdLZMy5JjlUql211IErnGIdsY5BqDXOOQbQxyjUGucaKzpdABAAAAkBwKHQAAAADJodDJMc4XjUGuccg2BrnGINc4ZBuDXGOQa5zobJl1rUuYdQ0AAADYn2azrnFEB0BHmBnT5wIAksa2rrdQ6AAAAABIDoUOAAAAgORQ6AAAAABIDoUOAAAAgORQ6AAAAABIDoVOjlUqlW53IUnkirxhzMYg1zhkG4NcY5BrnOhsKXRyjF+8GOSKvGHMxiDXOGQbg1xjkGscCh0AAAAAaBGFDgAAAIDkUOjk2ODgYLe7kCRyRd4wZmOQaxyyjUGuMcg1TnS25u6hPwD1DQ8P+9LSUre7AXSMmUmS+M4BAKSKbV3nmdmyuw/XW3aw050B0J/40gcApI5tXW/h1DUAAAAAyaHQAQAAAJAcCh0AAAAAyaHQAQAAAJAcCh0AAAAAyaHQybFKpdLtLiSJXOOQbQxyjUGuccg2BrnGINc40dlS6OQYv3gxyDUO2cYg1xjkGodsY5BrDHKNE50t99EB0BHcRA0AkDq2db2FIzoAAAAAkkOhk2ODg4Pd7kKSyBV5w5iNQa5xyDYGucYg1zjR2Vqqh9bMbERSWdJ69lJB0qS7r+2z3UlJpaw9SVqRdNHdV1ppZ3h42JeWlvbTFSBXOJwPAEgd27rOM7Nldx+utyzJa3TMbFrSgLuPbnmtIGnZzMbdfWEPbRYlTapa1ExsafNS1u5U7XUAAAAA3ZVcoZMdyTnr7ie2vu7u62Y2LmnWzE65+3r9FhqalHR+6/uy/x41s1lJF8xs1d1n9vsZAAAAAOxPitfoTEqqW2xsOZLzQisNmllJ0nyT4uh89jzdSrsAAAAAYiRV6JjZkKSipKtNVluSNNZi06PNFmYF0MqWPgAAAADooqQKHVUnCZCkZhMOrEkqZNfc7FZR0rSZXdihXUmqezEUAAAAgM5JrdD5WPbcrNBZzZ5bOfIyr+rsbc3arc3Ctq9Z3QAAAADsX2qFTkHaPJWskdqygd026u5T7n7C3eearFY7ktOxOaMrlUqnflRfIVfkDWM2BrnGIdsY5BqDXONEZ5taobPr4kX3jsDsWzZZQUHS3B5mc9szfvFikCvyhjEbg1zjkG0Mco1BrnGis01teulWipcn2vhzJx54rsvMxpRNhHDy5EktLi5uLhscHGx6d9hKpXLfYNjpTrL11m+1fdZn/Xau7+6bY74X+pPS+rdv39739wnrb1//xo0bWlxc7Jn+pLR+M3noP+uzfqP1H7xRaLf70+vrt2P71YyldOdWM1uVVHR3a7LOmKrTQLflBp9b2iu3ciPS4eFhX1ra31lui4uLeu655/bVBrYj1zhkG4NcY5BrHLKNQa4xyDVOO7I1s2V3rzsZWGqnrrXijf02kM3cNi1ptJUip112qmKxN+Qah2xjkGsMco1DtjHINQa5xonONrVCZ12SzGw3p7C141qaWUkTO0xSEIZfvBjkGodsY5BrDHKNQ7YxyDUGucah0GlNbWrnZpMS1Iqga/v5QWY2L+myu0/tpx0AAAAA7ZdqodPsiM7p7Hllrz/EzKYlzVPkAAAAAL0ptULncvZcbLJOUdK6u+/pxp5mdkHSar0ix8wK2VTTAAAAALooqULH3VdUvfam3GS1kqSZvbRvZiPZz2l0JKfujA8AAAAAOiupQidzXtLZehMSZIXKuqSL9d5oZrNmNt/gvUOqTl3d7HS1sqT9zRkNJMrMZNZw5ncAAHKPbV1vSe2GoXL3OTMrS7okabT2ela8TKo6FfS2GdeyU85Gsn+e1ZajPtk00lckLWVt1zOgaiG073vzAAAAANif5AodSXL3cTMbySYNqBU1BVVv6ln32hx3XzCz2gQFLz6weDp7/07X3+x5goO9qFQqTHkYgFyRN4zZGOQah2xjkGsMco0TnW2Kp65Jqh7Zcfdxd5/IHuM7TUDg7meyx/oDr5fd3XbxOBP7qe5XqVQ6+eP6BrkibxizMcg1DtnGINcY5BonOttkCx0AAAAA/YtCBwAAAEByKHRyjPNFY5Ar8oYxG4Nc45BtDHKNQa5xorM1dw/9AahveHjYl5aYiRr9ozbdJt85AIBUsa3rPDNbdve697LkiA4AAACA5FDoAAAAAEgOhQ4AAACA5FDoAAAAAEjOwW53AEB/4MJMAEDq2Nb1Fo7oAAAAAEgOhU6OVSqVbnchSeQah2xjkGsMco1DtjHINQa5xonOlkInx/jFi0Guccg2BrnGINc4ZBuDXGOQaxwKHQAAAABoEYUOAAAAgORQ6OTY4OBgt7uQJHKNQ7YxyDUGucYh2xjkGoNc40Rna0yD1x3Dw8O+tLTU7W4AAAAAuWVmy+4+XG8ZR3QAdISZycy63Q0AAMKwrestFDoAAAAAkkOhAwAAACA5FDoAAAAAkkOhAwAAACA5FDoAAAAAkkOhk2OVSqXbXUgSuSJvGLMxyDUO2cYg1xjkGic6WwqdHOMXLwa5Im8YszHINQ7ZxiDXGOQah0IHAAAAAFpEoQMAAAAgORQ6OTY4ONjtLiSJXJE3jNkY5BqHbGOQawxyjROdrbl76A9AfcPDw760tNTtbgAdY2aSJL5zAACpYlvXeWa27O7D9ZYd7HRnAPQnvvQBAKljW9dbki10zGxEUlnSevZSQdKku6+1qf2ipFl3P9OO9gAAAAC0T5KFjplNSxpw99EtrxUkLZvZuLsv7LHdgqRhVQuoC7pXRAEAAADoIclNRpAdyTm7tciRJHdflzQuaTYrWFpttyRpVtUi57KkPRVLAAAAAOKleERnUtJMvQXuvpBdJPaCpIlWGs2OAm0WN7WLzQAAAAD0nqSO6JjZkKSipKtNVluSNNaZHgEAAADohqQKHUml7LnZhANrkgrZZAK5VqlUut2FJJFrHLKNQa4xyDUO2cYg1xjkGic629QKnY9lz80KndXseSi4L+H4xYtBrnHINga5xiDXOGQbg1xjkGuc6GxTu0anIG1OPNBIbdlAfHcA1HATNQBA6tjW9ZbUjui0Ury0PPMaAAAAgHxI8ojOLj0R1osGzGxM2UQIJ0+e1OLi4uaywcFBDQ4ONnxvpVK57/Ae68etX+99eeo/6/ff+o899hjfJwHr3759W4uLiz3TH9Zn/Z3Wr/e+PPW/V9ff+u9e6E9K67dj+9WMpXRozcxWJRXdveHcz1mxMS1pyt1bmmL6gXbmJQ27+4m9vH94eNiXlpb2+uOB3OFwPgAgdWzrOs/Mlt19uN6y1E5da8Ub3e4AAAAAgBipFTrrkmRmuzmFrdmEBQAAAAByLLVCpzatdLNJCWpF0LXgvgAAAADoklQLnWZHdE5nzyvBfQEAAADQJakVOpez52KTdYqS1t292U1FAQAAAORYUoWOu6+oeu1NuclqJUkznekRAAAAgG5IqtDJnJd0tt6EBGY2omohdLHeG81s1szmdzmZgdTlm45unUcc7UOuyBvGbAxyjUO2Mcg1BrnGic42uULH3eckvSjp0tbXs+JlUtKou2+bcc3MSpJGVD3ic3YXP6q4pd2u4BcvBrkibxizMcg1DtnGINcY5BonOtuDoa13ibuPm9mImU3r3jTSBUnlRtfmuPuCmdUmKHjxweVmNqR7xVNR947mvGJmtTYvZoUWgAe4+313PwYAIDXcKLS3JFnoSJtHdloqOtz9TJNlK5IaLgcAAADQO5I7da2fDA4OdrsLSSLXOGQbg1xjkGscso1BrjHINU50tsYhtu4YHh72paWlbncDAAAAyC0zW3b34XrLOKIDAAAAIDkUOgAAAACSQ6EDAAAAIDkUOgAAAACSQ6EDoCPMTGbW7W4AABCGbV1vodABAAAAkBwKnRyrVCrd7kKSyBV5w5iNQa5xyDYGucYg1zjR2VLo5Bi/eDHIFXnDmI1BrnHINga5xiDXOBQ6ABpaWVlRuVzWmTNndPr0aU1NTd23fGFhYXP5mTNntLKy0qWeAgCwd2zvsBcHu90BAHuzsLCg8fFxzc/Pq1gsam1tTadPn5YkXbhwQQsLC5qentb8/LwkaWpqSs8//7xeeeUVFQqFbnYdAIBdY3uHveKITo4NDg52uwtJykOuKysrGh8f1/LysorFoiSpWCxqbGxMExMTWltb08TEhGZnZyVJ6+vrmp+f1/r6uhYWFrrZdQTIw5jNI3KNQ7YxUsy1F7Z3KebaK6KzpdDJMX7xYuQh1/Pnz2t2dnbbnqozZ85Iksrlss6dO7f5+szMzOYXPnu30pOHMZtH5BqHbGOkmGsvbO9SzLVXRGfLqWtAziwsLKhYLGpoaGjbsvX1dUnS2tqaxsbGNl8vlUoqFosqlUoqlUod6ysAAHvF9g77RaED5Mzk5KQmJyfrLrt69aokaWRk5L49WUNDQ1pdXd2x7YmJCa2vr2t6ero9nQUAYI8itnczMzNaXV3VysqKrl27plKppBdeeIGzHRJFoQPkTL1D+DVzc3OSdN9h/J3UznEuFouam5uru+cMAIBOi9jenTt37r4jQOVyWadOnbrvGiCkw9y9233oS8PDw760tNTtbiAhtak1JWmvv9flclmFQmHzos52MjNJe+8bAADS3rZ3c3NzKhQKdU9nO3HihIrFopaXl/fdN7Z1nWdmy+4+XG8ZkxEAiagVJyMjI13uSX3uzhc/AGDf9rK9m5+fb3jNzgsvvKCVlRWtra3tu29s63oLhQ6QiBdffFFSa4fxAQDIm71s71588cXNmdoeVDtljZuMpodCJ8cqlUq3u5CkPOa6srKyOQNNoz1W5XJ5c51uyWO2eUCuMcg1DtnG6Idc97q9Gx4e1sDAwJ5+Zj/k2i3R2VLo5Bi/eDF6OdeVlRWVy2VNTU3d93ptlrRisVj3ws3aXqpuzyrTy9nmGbnGINc4ZBsjpVzbvb2bn5/X/Px83Z9Vm8Gt0WQ8KeXaayh0AGwaHR3VwsKCLl68eN/rO939eWJiouEUnQAA9JpObu9mZmY277+DtFDoADly7do1SbpvasyZmRlNT0+rVCppbW1t2+H6qamphjdcAwCgF3Vqe1c7YsT949JEoZNjg4OD3e5Ckno511KppKGhoc29VSsrK1pdXVWpVNp8bWZmZnP9iYkJXb16tWe+wHs52zwj1xjkGodsY6SUaye2d2tra7p48aKuXLnS9GhOSrn2muhsuY9Ol3AfHezV+Pi4lpaWNDAwcN9GQKoe0p+YmNj897lz53ThwoVdtx15Hx0AAFoRub2TpDNnzmhycrLhpAbIh2b30aHQ6RIKHfQibhgKAOgHo6OjGh8fb3uRw7au87hhKAAAAKDqaW4RRQ56D4UOAAAA+sLMzIzK5fK2Imd9fV1zc3Nd6hWiHOx2B6KY2YiksqTalBwFSZPuvtaL7QIAACDOwsKCBgYG6h7JWVpaYnrpBCVZ6JjZtKQBdx/d8lpB0rKZjbt780nYO9wu0Ctq03kCAJCSlZUVTU5O1r0JqSRdvnxZV65c6ULPECm5yQiyIy6X3P1EnWUlSbOSTrn7+rY3d7BdJiNAr5iamtLVq1e1tra2eUfpUqmkQqGgcrl83z0M9oMLNAEA3XLixIlt991q/Me3AAAO/UlEQVTZqlAo6Pr16/v+OWzrOq+vZl0zs1VJc+4+0WD5dUkzjZZ3qt12FDqVSoW53QOQawy+/OMwZmOQaxyyjUGuMVrJlW1da9oxZvtm1jUzG5JUlHS1yWpLklraRR3V7n5VKpVO/ri+Qa7ttbq6qi9+8Yub/z5+/Li++MUvanV1tYu9SgtjNga5xiHbGOQaYze5sq3bm+gxm1ShI6l2dVmziQHWJBXMrJUrzqLaBZL20ksv6amnntJXvvKVzdc2Njb0la98RU899ZReeumlLvYOAID9Y1vXu1IrdD6WPTcrSGql9VAPtAska3V1VSMjI7p586bu3Llz37I7d+7o5s2bGhkZYW8XACC32Nb1ttQKnYIk7TAhQG3ZQA+0uy+chxuDXNvjS1/60rYv/QfduXNHX/7ylzvUo3QxZmOQaxyyjUGuMZrlyrZuf6LHbFKTEZjZsqQhd7cm64xJmpY04e7b5xfsULvMuobUHT9+XBsbG7ta78033+xAjwAAaC+2dd3XbDKC1O6jU2hh3Sc63W5WDI1J0smTJ7W4uLi5bHBwsGlVW6lU7rtgi/VZv9fXv3HjRsP1t9rY2Nhx1pU8fF7WZ33WZ33W77/1W9nWLS4u9lz/U1i/mdSO6KxKKu7yyMvUbqeCjmiXIzpIHXu5AACpY1vXfX0zvXSL3shZu0CufO5zn9OhQ4earnPo0CF9/vOf71CPAABoL7Z1vS21QmddksxsN6eaNZtYoFPtAsn67d/+7V19+f/Wb/1Wh3oEAEB7sa3rbakVOrXpn5vNfFYrVq71QLtAsk6fPq25uTkdOXJk20bg0KFDOnLkiObm5nT69Oku9RAAgP1hW9fbUi10mh15qY20lR5oF0japz/9ab388ssaGxvT8ePHdeDAAR0/flxjY2N6+eWX9elPf7rbXQQAYF/Y1vWu1CYjGJK0LGnU3ecarDMvadjdT3Sz3XZMRlDZYaYq7A25xiHbGOQag1zjkG0Mco1BrnHakW3fTEbg7iuqXiNTbrJaSdJML7S7X1un10P7kGscso1BrjHINQ7ZxiDXGOQaJzrbpAqdzHlJZ+tNHGBmI6oWLBfrvdHMZs1svsGkA3tuFwAAAEBnJVfoZKeWvSjp0tbXswJlUtXTz7bNjGZmJUkjqh6ZOduudgEAAAB0XlLX6GyVHWUp6950zwVJk+6+1uQ9y9l/Pt+oaNlLuw3aeV3S/2vlPXW8T9I/7LMNbEeuccg2BrnGINc4ZBuDXGOQa5x2ZPtz7v7+eguSLXT6gZktNbr4CntHrnHINga5xiDXOGQbg1xjkGuc6GyTO3UNAAAAACh0AAAAACSHQiffOjqddR8h1zhkG4NcY5BrHLKNQa4xyDVOaLZcowMAAAAgORzRAQAAAJAcCh0AAAAAyaHQAQAAAJCcg93uAAAAUdp1k+dOtZsn7c7AzIYkXZJ0WdJcrR0zK0oqSRqVNN4PGWefedbdz7Spvb4frzXtypbxeo+ZTar6mQvZSyuSLrr7yj7b3fe4ZTICAECSzGxa0oC7j255rSBpWdU/QBZ6qd08icgg+8NxucHidUnP7/cPp16W5Tes6h92FyStu/uJNrTLeA3Itt/Hq7RZ1E1qS1GTZX1J0oikKXef2GPbbRm3HNHJiV6ullPBXp4Y7JlsL/ai706W09kH/5hx93UzG5c0a2an3H29fgudbTdPgjOYk3RNUlHSgKQ1SfPunvT0vmZWkjSh6rb9sqQhVf8w32+7jNegbDN9OV63mJR0fuv4yf571MxmJV0ws9VW82jruHV3Hj38UPWXZ1bS0JbXCtlrruofOHtte1rVP0D1QNurkkrd/uwdyreg6h9zk1me19vQ5lDWVr3H9a3/L1N9ROSatdvXYzbi86c6XrNMGn4/Zp+t5e/PqHbz9AjMdkjSWLc/Xy88JM23aXvU9+M1MNu+Hq/ZNr7h58+2TV4tNVpuu23jlskIel+tWt48cuPu6149lDenarU81mqjW6rl0a2ve7U6rlXLhbpvTkS2l2dW1b3jlyW18/D9nKo3wVpQdS/SnKp7xU94+oeyQ3Lt9zEb/PmTGq/ZUaqipKtNVluS1NJ3Z1S7eUIG+cH/KwQbbbYw2zbVTmcb2m2j7R63FDo9LPuDcd4bH5o7nz1P76H5STW4G63fO+/xhT20mxvuvuDuZXefCPhjbt7dx7P2z7j7qPfJoezAXPt9zEZ+/tTGayl7bna63ZqkQnaKXrfbzRMyyA/+XyFSUdK0mV1osk5t7LVyqmBbxy2FTm/LRbUMROv3Mdvvn38PPpY9N9tQrmbPu/7uDGw3T8ggP/h/hUjzql4r2mx81c4yaOUaz7aOWwqd3paLahnogH4fs/3++VtVkDZ3BjVSWzbQA+3mSXgGZlY0swtmNmZmk2Y2m53hgNYwXjugX8eru09lpzfPNVmt9rfpUgtNt3XcMutab5tXdZB0u1rO1WxLSFK/j9l+//ytarl46XK7eRKdQVnSNXefqr2QXXt2xcymc35KZacxXuMxXhvIir2CqrN5tjKrX1vHLYVOD8t+caZ2WK3r1TLqy/asj6ia5WllR+i8D+5ZEKDfx2xH9qIrnfHayh9tT/RAu3kSmcG6qteL3beH2KtTyp6XtGxmS3mcIKNLGK+xGK/NTTzwvFttHbcUOjnWK9Uy6mIvT3v1+5hlLzqS59V7NTWacGPFzNZVnZSj3NGOAXUwXhvLZgMuSSp7l+/BxjU6+dYT1TK2abiXR9WZ8qZbmTwCkhizXdmLrv4Yr2/krN08aXcGS5JKKU8j30WM1/bry/GanR0wLWm0A2cE7DhuKXRyqpeqZdzP3dca7QHPDmHX9vIAXZfoeF2XNo9K7WrdLrebJ93MoLatY8KN3WG8dle/jtdZSRM7TFLQTFvHLYVODvVatYyW9eVeng7q9zHLXvR7f2A0O+Wv9nmu9UC7eRKWwS5mDKz9UdPKLKP9jPEaiPG6nZnNS7q89TToPWjruKXQaQMzGzEzb8Njt3tNe6pajtSFbDuh63t5cphrLsZsYK7sRW9Nrc/N8jqdPbdyoXBUu3kSkoGZTUtaNbORJqvxR3lrGK9BGK/bZZnM77PIkdo8bpmMoA3cfc7MzrShqR1PQWtjtTykarXc6I+invgF7WS27WJmxR1OJ9y6l6crG5cc5pqLMRuYa9jnz8N43YPLki6oWpw16nNR0nqLp/5GtZsnURnUxnaz99T28OZlHHYb4zUO43ULq97vcbXe36bZDrrhFs5Aauu4pdBpk05MH9ir1XK0PE3NmP0/GjOz0SZH3Lr+B7mUr1yVozEblGvkXvRcjNdWbJnxqCyp0ecqaefp+zvSbp4EZnBV1TMVmv3hUpK0wh/lu8N4DcV4zdSOajX527SlU/faPW45dS0ndqqWrbW78F7OnpudisJenr1hL0+Mfh+zUZ8/5fF6XtLZeqf7ZRvmdUkX673Rqnc2n29wquCe201IRLYzajKDqFUn4ClIGt1zr/NnV9fFMV73ZL/ZMl4lWXVGzuIOO+DLqnOvx46NW3fn0eMPVW/id6HJ8pKkUottXlf1ZoCNlrukyW5/9g7nPC/p+j7buJD90u+U/XK3P2+ect2SW9+O2YjPn/p4VXXSltkHXitIWm30nZl9n3r2GGtXu6k9IrLNls8+OCYljWXjcKTbn7uD+a5mORV2WI/x2qVs+328qrpz7Xq2jW/0WK63/e/kuLXsjehRWbVc8ibVcnbh8kV/4KahZjarbI9CnWUjki5JOtXKspRl1z+V3N12sW7dbLO9D5PuPt7gfWOq/vKe9jSPPGzTjlyzZX09Zvfz+ft5vGbZlHXvWqPaZ274ecxsOfvP5xuNp720m5qIbGtjUtUjibW9uWuqniaU5O+2tLmtv5T9s6h7n33rEdeLXucUU8Zrc5HZ9ut4le5t23ex6oq7b7t2tVPjlkKnh1l16sJl1Tnkt8WAqnsTTjzw3pKq1bQkjXud+2Rk5+cPuPvoltcK2c8c9/ipq3uKma2q+iV4otkX1E7ZZsvH9cD5u9kfjZOSztf7Qk1Vu3LN1unrMbuXz894BQD0KwqdHpaXajmv2MsTgz2TsdiLDgDA7lDoAAAAAEgOs64BAAAASA6FDgAAAIDkUOgAAAAASA6FDgAAAIDkUOgAAAAASA6FDgAAAIDkUOgAAAAASA6FDgAAAIDkUOgAAAAASA6FDgAAAIDkUOgAAAAASA6FDgAAAIDkUOgAAAAASA6FDgAAAIDkUOgAAAAASA6FDgAAAIDkUOgAAAAASA6FDgCgr5nZmJktm9lq9rhQZ53pLevMm1mxG30FAOwehQ4AoG+Z2ayksqTn3f20pFFJk9nrMrOCmS1LmnX3M9k6K5KWzazQtY4DAHZEoQMA6EtZMbPm7qPuvi5J7r4iaUbSiJmVJF2SdNHdF7L3jEi6IKkgqdSdngMAdoNCBwDQd7KCRe4+UWfxfPY8Lang7nNblr0Q3TcAQHsc7HYHAADogklJZxosG8iei5IeLIQuZ68vPFAAAQB6jLl7t/sAAEDHZEdzyu4+3mD5tKQxSXJ362TfAADtQ6EDAOgrZjak6rU56w2WX1f1Gpw5dx/taOcAAG3DqWsAgL6STThQV1YE1WZTu9yZHgEAIjAZAQAA95yr/QfX4ABAvlHoAABwz0j2vNDVXgAA9o1CBwAASWZWVHVGNUmabbIe988BgByg0AEAoGpky3+/WG8FMyuoen8dAECPo9ABAPQNMxsys9XsUXxg8dbrc+rOyKbqDUMpdAAgB5h1DQDQTyZ17/S0IUlr0uZsazWNpp0uShpx99OhPQQAtAVHdAAA/WQge17T/RMOvCDpeUkrkgrZKWqbsn/PSuK+OgCQExQ6AIB+Urs3Trl2epqZTUu6nP37fLb8Uu0N2eQDy5LON7sHDwCgt3DqGgCgb7j7lJlJ0ryZ1U5Rm3D3hWz5ipmdkTRpZquqnsa2pmphtNaVTgMA9sTcvdt9AAAAAIC24tQ1AAAAAMmh0AEAAACQHAodAAAAAMmh0AEAAACQHAodAAAAAMmh0AEAAACQHAodAAAAAMmh0AEAAACQHAodAAAAAMmh0AEAAACQHAodAAAAAMmh0AEAAACQHAodAAAAAMn5/9ETEQBFxihLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 936x1512 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=1, figsize=(13, 21))\n",
    "\n",
    "plt.sca(axes[0])\n",
    "\n",
    "plt.grid(linestyle='--', dashes=(5, 10))\n",
    "\n",
    "plt.plot(x_grid, density_p(x_grid), c=palette[0], linewidth=3, alpha=0.9, label='$p(x)$')\n",
    "plt.plot(x_grid, density_q(x_grid), c=palette[1], linewidth=3, alpha=0.9, label='$q(x)$')\n",
    "\n",
    "plt.fill_between(x_grid, 0, density_p(x_grid), color=palette[0], alpha=0.15)\n",
    "plt.fill_between(x_grid, 0, density_q(x_grid), color=palette[1], alpha=0.15)\n",
    "plt.plot([x_1, x_1], [0.0, px_1], c='k', linewidth=2, ls=(0, (6, 4)))\n",
    "plt.plot([x_2, x_2], [0.0, px_2], c='k', linewidth=2, ls=(0, (6, 4)))\n",
    "plt.plot([x_1], [0.0], marker='o', c='k', markersize=10)\n",
    "plt.plot([x_1], [px_1], marker='o', c=palette[0], markersize=10, alpha=0.95)\n",
    "plt.plot([x_1], [qx_1], marker='o', c=palette[1], markersize=10, alpha=0.95)\n",
    "plt.plot([x_2], [0.0], marker='o', c='k', markersize=10)\n",
    "plt.plot([x_2], [px_2], marker='o', c=palette[0], markersize=10, alpha=0.95)\n",
    "plt.plot([x_2], [qx_2], marker='o', c=palette[1], markersize=10, alpha=0.95)\n",
    "\n",
    "plt.annotate('$x_1$', fontsize=36, xy=(x_1, 0.0),  xycoords='data', xytext=(x_1 - 0.09, 0.00),\n",
    "             horizontalalignment='right', verticalalignment='bottom')\n",
    "plt.annotate('$x_2$', fontsize=36, xy=(x_2, 0.0),  xycoords='data', xytext=(x_2 - 0.09, 0.00),\n",
    "             horizontalalignment='right', verticalalignment='bottom')\n",
    "\n",
    "plt.legend(fontsize=40, handlelength=1.2)\n",
    "plt.xlabel('$x$', fontsize=40)\n",
    "plt.ylabel('Density', fontsize=40)\n",
    "plt.xlim([-2.1, 2.1])\n",
    "plt.ylim([-0.009, 0.49])\n",
    "plt.xticks(fontsize=30)\n",
    "plt.yticks(fontsize=30)\n",
    "\n",
    "plt.sca(axes[1])\n",
    "\n",
    "plt.grid(linestyle='--', dashes=(5, 10))\n",
    "\n",
    "plt.axhline(fx_avg, c='k', ls=(0, (6, 4)))\n",
    "plt.plot([x_1, x_1], [0.0, fx_1], c='k', linewidth=2, ls=(0, (6, 4)))\n",
    "plt.plot([x_2, x_2], [0.0, fx_2], c='k', linewidth=2, ls=(0, (6, 4)))\n",
    "plt.plot([x_1], [0.0], marker='o', c='k', markersize=10)\n",
    "plt.plot([x_1], [fx_1], marker='o', c=palette[3], markersize=10, alpha=0.95)\n",
    "plt.plot([x_2], [0.0], marker='o', c='k', markersize=10)\n",
    "plt.plot([x_2], [fx_2], marker='o', c=palette[3], markersize=10, alpha=0.95)\n",
    "plt.plot([-2.1], [fx_avg], marker='o', c='k', markersize=10)\n",
    "\n",
    "plt.plot(x_grid, f_val, c=palette[3], linewidth=3, label='$f^*(x) = \\\\frac{p(x)}{p(x) + q(x)}$')\n",
    "\n",
    "\n",
    "plt.annotate('$x_1$', fontsize=36, xy=(x_1, 0.0),  xycoords='data', xytext=(x_1 - 0.09, 0.00),\n",
    "             horizontalalignment='right', verticalalignment='bottom')\n",
    "plt.annotate('$x_2$', fontsize=36, xy=(x_2, 0.0),  xycoords='data', xytext=(x_2 - 0.09, 0.00),\n",
    "             horizontalalignment='right', verticalalignment='bottom')\n",
    "\n",
    "plt.annotate('$t_{1,2}$', fontsize=36, xy=(-2.0, fx_avg),  xycoords='data', xytext=(-2.05, fx_avg + 0.01),\n",
    "             horizontalalignment='left', verticalalignment='bottom')\n",
    "\n",
    "plt.annotate('$f^*(x_1) = t_{1,2} = f^*(x_2)$', fontsize=32, xy=(0.27, fx_avg),  xycoords='data', xytext=(0.27, fx_avg - 0.07),\n",
    "             horizontalalignment='center', verticalalignment='top')\n",
    "\n",
    "plt.annotate('', xy=(x_1, fx_1), xycoords='data',\n",
    "             xytext=(-0.65, 0.57), textcoords='data',\n",
    "             arrowprops=dict(arrowstyle='->', facecolor='black', shrinkB=15, lw=2, mutation_scale=30),\n",
    "             horizontalalignment='right', verticalalignment='top')\n",
    "\n",
    "plt.annotate('', xy=(x_2, fx_2), xycoords='data',\n",
    "             xytext=(1.15, 0.57), textcoords='data',\n",
    "             arrowprops=dict(arrowstyle='->', facecolor='black', shrinkB=15, lw=2, mutation_scale=30),\n",
    "             horizontalalignment='right', verticalalignment='top')\n",
    "\n",
    "plt.xlim([-2.1, 2.1])\n",
    "plt.ylim([-0.02, 1.02])\n",
    "plt.legend(fontsize=37, handlelength=1.2, handleheight=2.2)\n",
    "plt.xlabel('$x$', fontsize=40)\n",
    "plt.ylabel('$f^*(x)$', fontsize=40)\n",
    "plt.xticks(fontsize=30)\n",
    "plt.yticks(np.linspace(0.0, 1.0, 11), fontsize=30)\n",
    "\n",
    "plt.savefig('./figures/pushforward_part_1.pdf', format='pdf', bbox_inches='tight')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 11,  65, 218, 219])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.where(np.abs(f_val - 0.636) <= 3e-3)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1.85542169, -1.51807229,  1.50200803,  1.85542169])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_grid[[9, 30, 218, 240]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.65101896]), array([0.63347652]))"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(-1.0), f(1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['serif'] not found. Falling back to DejaVu Sans.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 936x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.ndimage import gaussian_filter1d\n",
    "\n",
    "f_min = np.min(f_val)\n",
    "f_max = np.max(f_val)\n",
    "\n",
    "sigma = 1.2\n",
    "\n",
    "\n",
    "delta = -0.04\n",
    "range_mask = np.logical_and(f_grid[1:] >= f_min + delta, f_grid[1:] <= f_max - delta)\n",
    "\n",
    "def filter_in_range(x, mask):    \n",
    "    x = x.copy()\n",
    "    x_range = x[mask]\n",
    "    x[mask] = scipy.ndimage.gaussian_filter1d(x_range, sigma=sigma)\n",
    "    return x\n",
    "\n",
    "d_pf_p_filt = filter_in_range(d_pf_p, range_mask)\n",
    "d_pf_q_filt = filter_in_range(d_pf_q, range_mask)\n",
    "\n",
    "\n",
    "fig = plt.figure(figsize=(13, 9))\n",
    "\n",
    "plt.grid(linestyle='--', dashes=(5, 10))\n",
    "\n",
    "plt.plot(f_grid[1:], d_pf_p_filt, c=palette[0], linewidth=3, alpha=0.9, label='$[{f^*}_\\\\sharp p](t)$')\n",
    "plt.plot(f_grid[1:], d_pf_q_filt, c=palette[1], linewidth=3, alpha=0.9, label='$[{f^*}_\\\\sharp q](t)$')\n",
    "plt.fill_between(f_grid[1:], 0, d_pf_p_filt, color=palette[0], alpha=0.15)\n",
    "plt.fill_between(f_grid[1:], 0, d_pf_q_filt, color=palette[1], alpha=0.15)\n",
    "plt.plot([fx_avg, fx_avg], [0.0, d_pf_p_smooth_a], c='k', linewidth=2, ls=(0, (4, 3)))\n",
    "plt.plot([fx_avg], [0.0], marker='o', color='k', markersize=10)\n",
    "plt.plot([fx_avg], [d_pf_p_smooth_a], marker='o', color=palette[0], markersize=10, alpha=0.95)\n",
    "plt.plot([fx_avg], [d_pf_q_smooth_a], marker='o', color=palette[1], markersize=10, alpha=0.95)\n",
    "\n",
    "plt.annotate('$t_{1,2}$', fontsize=32, xy=(fx_avg, 0.0),  xycoords='data', xytext=(fx_avg - 0.02, 0.00),\n",
    "             horizontalalignment='right', verticalalignment='bottom')\n",
    "plt.annotate('$\\\\frac{[{f^*}_\\\\sharp p](t)}{[{f^*}_\\\\sharp p](t) + [{f^*}_\\\\sharp q](t)} = t$', fontsize=37, xy=(0.5, 5.5),  xycoords='data', xytext=(0.5, 8.5),\n",
    "             horizontalalignment='center', verticalalignment='top')\n",
    "\n",
    "plt.annotate('$[{f^*}_\\\\sharp p](t_{1, 2})$', fontsize=28, xy=(fx_avg, d_pf_p_smooth_a),  \n",
    "             xycoords='data', xytext=(fx_avg + 0.35, d_pf_p_smooth_a + 0.04),\n",
    "             horizontalalignment='right', verticalalignment='bottom',\n",
    "             arrowprops=dict(arrowstyle='->', facecolor='black', shrinkB=15, lw=2, mutation_scale=30))\n",
    "\n",
    "plt.annotate('$[{f^*}_\\\\sharp q](t_{1,2})$', fontsize=28, xy=(fx_avg, d_pf_q_smooth_a),  \n",
    "             xycoords='data', xytext=(fx_avg + 0.35, d_pf_q_smooth_a + 0.04),\n",
    "             horizontalalignment='right', verticalalignment='bottom',\n",
    "             arrowprops=dict(arrowstyle='->', facecolor='black', shrinkB=15, lw=2, mutation_scale=30))\n",
    "\n",
    "plt.legend(fontsize=28, handlelength=1.2)\n",
    "\n",
    "plt.xlabel('$t$', fontsize=35)\n",
    "plt.ylabel('Pushforward density', fontsize=40)\n",
    "\n",
    "\n",
    "plt.ylim([-0.15, 9.5])\n",
    "plt.xticks(np.linspace(0.0, 1.0, 11), fontsize=30)\n",
    "plt.yticks(fontsize=30)\n",
    "\n",
    "plt.savefig('./figures/pushforward_part_2.pdf', format='pdf', bbox_inches='tight')\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
